Quadratic Movers

'7 videos - 7 moving quadratic graphs. Reproduce these graphs from the basic parabola'

The equation of the simplest parabola is y = x². Easy so far? The graphs in this activity move! Click play on the video below. How do you do that? That is the crux of this activity: to reproduce the videos of some dynamic quadratic graphs. Some move up and down, others from left to right, in and out, etc. Use dynamic graphing software to do the same.

The following screencast is an example of the the type of question in this activity. Could you reproduce it?

<img class="ico" src="https://assets.inthinking.net/thinkib/icons/inthinking.png" /> Quadratic Links</a>.</p><p>Warm-up - <a href="https://www.thinkigcse.net/mathematics/page/9674/quadratic-movers-videos" target="_blank"><img class="ico" src="https://assets.inthinking.net/thinkib/icons/inthinking.png" /></a><a href="/media/igcse/mathematics/files/ALGEBRA/quadratic%20movers/Qudratic%20Hunt.doc" target="_blank"> Quadratic Hunt</a>.  Here are six quadratic graphs to reproduce and find the equations of.<br />The main activity consists of 7 <a href="https://www.thinkigcse.net/mathematics/page/9674/quadratic-movers-videos" target="_blank"><img class="ico" src="https://assets.inthinking.net/thinkib/icons/inthinking.png" /> videos</a> of dynamic quadratic graphs to reproduce.</p></div><h3><span style="font-size: 17px;">Help with Autograph</span></h3><p>Many graphing software have the capability of producing the dynamic graphs in these <a href="teachmaths/quadratic-movers/quadratic-movers-videos.htm" target="_blank"><img class="ico" src="https://assets.inthinking.net/thinkib/icons/inthinking.png" /> videos</a>.  In this case the author has used Autograph.  To produce these graphs you need to know how to use the constant controller.  It is very simple, but if you need some help you may find the following video useful.</p><p style="text-align: center;"><iframe allowfullscreen="" frameborder="0" height="390" src="/mathematics/page/9674/quadratic-movers-videos" target="_blank"><img class="ico" src="https://assets.inthinking.net/thinkib/icons/inthinking.png" /></a><a href="" target="_blank"> Quadratic Hunt</a>.  This is a warm up for the main activity.</li><li>The main activity is to reproduce these seven dynamic graphs provided in the  videos.  Each video shows a transformation of the basic quadratic graph y = x².  The first five are simple transformations and the last two are provided as an extension.</li><li>Students should share, discuss and justify their graphs with classmates (this happens quite naturally).</li><li>Students may wish to take video of their answers by using a screen capture facility. This is not necessary, although it does provide a visual record of the students’ work. <a href="http://camstudio.org/" target="_blank">CamStudio</a> is a free open source piece of software that can record screen and audio from your computer.  Alternatively, any digital camera on a mobile phone, or otherwise, could be used to record the screen.</li></ul></div></section></article><section id="media-extras"><div style="border-top: solid 1px #eee;border-bottom: solid 1px #eee;padding: 4px 0 4px 0;line-height: 1em;color: #666;font-size: .8em"><small><em>All materials on this website are for the exclusive use of teachers and students at subscribing schools for the period of their subscription. Any unauthorised copying or posting of materials on other websites is an infringement of our copyright and could result in your account being blocked and legal action being taken against you.</em></small></div></section><section id="comments"></section></div> </div> </div> </div> </div> <div id="footer"> <div class="wmap"> <div class="layout-wrapper"> <div style="display: flex; justify-content: center; align-items: center; margin: .5rem 0;"> <a class="social" target="_blank" href="https://www.facebook.com/inthinking.net"> <i class="fa-brands fa-square-facebook fa-2x"></i> </a> <a class="social" target="_blank" href="https://twitter.com/inthinker"> <i class="fa-brands fa-square-x-twitter fa-2x"></i> </a> <a class="social" target="_blank" href="https://www.linkedin.com/company/9s4we1"> <i class="fa-brands fa-linkedin fa-2x"></i> </a> </div> <div style="display: flex; justify-content: center; align-items: center; margin: .5rem 0;"> <a class="social" target="_self" href="/subscribe/about-us" style="font-weight: 500;"> About us </a> <a class="social" target="_self" href="/subscribe/legal" style="font-weight: 500;"> Legal </a> <a class="social" target="_self" href="/subscribe/contact" style="font-weight: 500;"> Contact </a> </div> <div class="text-center" style="margin: .5rem 0;"> <span>© <script>document.write(new Date().getFullYear())</script></span> <a style="font-weight: bold; font-style: italic;" href="https://inthinking.net/" target="_blank"> InThinking </a> </div> </div> </div> </div> <script src="https://kit.fontawesome.com/49443ac05d.js" crossorigin="anonymous"></script><input id="tzoffset" type="hidden" value="new" />  <script src="/js/jquery-1.10.2.min.js"></script> <script src="js/bootstrap.min.js"></script> <script type="text/javascript" src="js/jq-fancybox/jquery.fancybox.pack.js"></script> <script>var pageId = 9673;</script><script>const commTicket = "d709ed739853108b";const commSiteWithComments = 1;const commGeneralId = 24;const commSitename = "mathematics";const commSectionId = 9673;</script><script src="/js/comments/init-comments.min.js?v=20231016"></script><script src="/js/comments/comments.min.js?v=20231016"></script><script src="/js/comments/comment-events.min.js?v=20231016"></script><script type="text/javascript" src="js/tib-fullscreen/tib-fullscreen.min.js?v=202401161500"></script><script src="/js/sidemenu/sidemenu.min.js?v=202011301145"></script><script src="/js/header-circle.min.js?v=202309071530"></script><script src="/js/password-toggler.min.js?v=202305221900"></script><script type="text/javascript" src="/js/cookies.min.js"></script> <script type="text/javascript"> // The cookies alert if (! readCookie("displayCookieConsent") && ! readCookie("y") ) { var cookieMSG = "We use cookies. By continuing to use this website you are giving consent to cookies being used."; setTimeout(function() { $.ajax({ cache: true, url: "js/cookiechoices.js", dataType: "script", success: function () { cookieChoices.showCookieConsentBar(cookieMSG, 'close', 'Read more', "mathematics/legal#cookies"); } }); }, 2000); } </script><script src="/js/session-updater.min.js?v=202404101845"></script> <script type="text/javascript"> $(document).ready(function(){ function padLeft(str,max){return str.length<max?padLeft("0"+str,max):str}function padRight(str,max){return str.length<max?padRight(str+"0",max):str}$("body").on("click",'a[href="#"], a.fancybox-nav, a[data-toggle="tab"], a[data-toggle="dropdown"], a[data-toggle="collapse"], a[data-toggle="modal"]',(function(e){e.preventDefault()}));var topmenuOffset=0,topmenuHeight=0;function fixDiv(t,h){$(window).scrollTop()<topmenuOffset||$("#topmenu ul.level-1").is(":visible")?($("#topmenu").css({position:"",width:""}),$("#topmenu").removeClass("fixed-top"),$("body").css({"padding-top":"0"})):($("#topmenu").css({position:"fixed",top:"0",width:$("#topmenu").width()+"px"}),$("#topmenu").addClass("fixed-top"),$("body").css({"padding-top":topmenuHeight+"px"}))}function fixSearchNav(){var searchMenuTop=topmenuOffset+topmenuHeight,searchMenuH=$("#nav-menu-search").is(":visible")?$("#nav-menu-search").outerHeight():0;if($(window).scrollTop()>searchMenuTop-topmenuHeight){var borderBottomWidth=parseInt($("#topmenu").css("borderBottomWidth"))+1;$("#nav-menu-search").css({position:"fixed",top:topmenuHeight+borderBottomWidth+"px",left:"0",right:"0"}),$("#nav-menu-search").addClass("fixed-top"),$("body").css("padding-top",topmenuHeight+searchMenuH+"px")}else $("#nav-menu-search").css({position:""}),$("#nav-menu-search").removeClass("fixed-top"),$("body").css("padding-top","0")}$("#topmenu").length&&(topmenuOffset=$("#topmenu").offset().top,topmenuHeight=$("#topmenu").outerHeight(),fixDiv(),$(window).scroll((function(){fixDiv(),fixSearchNav()}))),$("a.toggle-menu-search").on("click",(function(e){e.preventDefault(),$("#nav-menu-search").slideToggle("fast",(function(){$(this).find('input[name="s"]').focus()}))}));var menuH=$("#topmenu").height(),itemH=$("#topmenu > nav > ul > li").height();function fancyScrollTo(id){$("html, body").animate({scrollTop:$("#"+id).offset().top-300},300)}function printSectionBlog(){var w=$(window).width()/2,h,windowSettings="height="+($(window).height()-100)+", width="+w+", left=0, top=0, resizable=no, ";windowSettings+="scrollbars=yes, toolbar=no, menubar=no, location=no, ",windowSettings+="directories=no, status=yes";var myWindow=window.open("","Page printer",windowSettings),sectionHtml=$("section#main-content").clone();sectionHtml.find("span[data-latex], span.MJX_Assistive_MathML").remove();var containerHtml=["<html>","<head>","<title>Page printer</title>",'<link rel="stylesheet" type="text/css" href="'+window.location.origin+'/css/style.min.css?v=20230303">','<link rel="stylesheet" type="text/css" href="'+window.location.origin+"/css/style"+SITE_TAG+'.min.css?v=202104061357">','<link rel="stylesheet" type="text/css" href="'+window.location.origin+'/css/snippets.min.css?v=202210181500">','<link rel="stylesheet" type="text/css" href="'+window.location.origin+'/css/article.min.css?v=202212191730">',"</head>","<body>",sectionHtml.html(),"</body>","</html>"].join("");containerHtml=containerHtml.replace(/src="files\//gi,'src="'+window.location.origin+"/files/"),myWindow.document.write(containerHtml),myWindow.document.close(),myWindow.focus(),setTimeout((function(){$.when(myWindow.print()).then(myWindow.close())}),1e3)}function PopupPrint(target){window.print()}$("#topmenu > nav > ul > li").each((function(){if(menuH>itemH&&$(this).position().top<1){var i=itemH+1;$(this).find("ul:first").css("margin-top","-"+i+"px")}})),$("#topmenu > nav > ul > li").on("mouseenter mouseleave",(function(e){var submenu=$("ul:first",this),submenuW=submenu.width();$(this).offset().left+submenuW>$(window).width()&&(submenu.css("right","0"),submenu.find("ul").each((function(){if(!$(this).hasClass("fixed")){var l=$(this).width()+submenuW;$(this).css("margin-left","-"+l+"px"),$(this).addClass("fixed")}})))})),$("a.showhider").click((function(e){e.preventDefault();var box="#"+$(this).attr("rel"),show='<i class="fa fa-eye"></i>',hide='<i class="fa fa-eye-slash"></i>';$(box).slideToggle("fast"),$(this).html($(this).html()==show?hide:show),$(this).attr("title","Show"==$(this).attr("title")?"Hide":"Show")})),$("a.scroll-to").click((function(e){e.preventDefault();var n=$("#"+$(this).data("target")).offset().top-70;$("html, body").animate({scrollTop:n},300)})),$("a.print-section-blog").click((function(e){e.preventDefault(),printSectionBlog()})),$(".print-button").click((function(e){var target;e.preventDefault(),PopupPrint("#"+$(this).data("target-id"))})),$(".alert.alert-success").delay(6e3).hide("fast",fixDiv());var fancyParent=1==$("body").find($("#main-article")).length?"#main-article":"body",fancyOptions={loop:!1,openEffect:"elastic",closeEffect:"elastic",nextEffect:"fade",prevEffect:"fade",parent:fancyParent,helpers:{title:{type:"inside"}}};if($("ul.gallery").each((function(){var rel=$(this).find("li:first-child > a:first-child").attr("rel");$('ul.gallery a.fancy[rel="'+rel+'"]').fancybox(fancyOptions)})),$(".carousel.slide").each((function(){var rel="gallery-"+$(this).data("id");$('.carousel.slide a.fancy[rel="'+rel+'"]').fancybox(fancyOptions)})),$("img.pop").parent("a").each((function(){$(this).attr("title",$(this).children("img").attr("alt"))})),$("img.pop").parent("a").fancybox({loop:!1,helpers:{title:{type:"inside"}}}),!are_cookies_enabled()){var msg='<div class="alert alert-error"><i class="fa fa-warning"></i> Your browser does not accept cookies from this site. Please enable cookies to log in.</div><div class="alert alert-info"><i class="fa fa-question-circle"></i> Enabling cookies in <a target="_blank" style="margin: 0; padding: 0;" href="https://support.mozilla.org/en-US/kb/enable-and-disable-cookies-website-preferences">Firefox</a>, <a target="_blank" style="margin: 0; padding: 0;" href="https://support.google.com/accounts/answer/61416?hl=en">Chrome</a>, <a target="_blank" style="margin: 0; padding: 0;" href="http://windows.microsoft.com/en-us/windows-vista/block-or-allow-cookies">Explorer</a></div>';$("#modal-login .modal-header").append(msg)}if($(".panel-expandable > .panel-heading").click((function(e){e.preventDefault();var panel=$(this).closest(".panel-expandable"),expandables=panel.hasClass("panel-has-footer")?".panel-body, .panel-footer":".panel-body";panel.find(".panel-body").is(":visible")?(panel.find(expandables).slideUp("fast"),panel.find(".expander > .fa-minus").removeClass("fa-minus").addClass("fa-plus")):(panel.find(expandables).slideDown("fast"),panel.find(".expander > .fa-plus").removeClass("fa-plus").addClass("fa-minus"))})),$("#modal-find-out-more").css({width:.8*$("#container").width()+"px","margin-left":-.4*$("#container").width()+"px"}),$(".modal-xxl").length){var modalTopPos=Math.round(.07*$(window).height());$(window).width()>1200&&$(".modal-xxl").css({"max-width":$(window).width()>960?"960px":$(window).width()+"px",width:$(window).width()>960?"960px":$(window).width()+"px","margin-left":$(window).width()>960?"-480px":Math.round($(window).width()/2)}),$(".modal-xxl").css("top",modalTopPos+"px"),$(".modal-xxl").on("shown",(function(){var mHeaderH=$(this).find(".modal-header").outerHeight(),mBody=$(this).find(".modal-body"),mBodyH=mBody.outerHeight(),mFooterH=$(this).find(".modal-footer").outerHeight(),bottomOfTheModal=modalTopPos+mHeaderH+mBodyH+mFooterH;if(bottomOfTheModal<$(window).height())mBodyH+=$(window).height()-bottomOfTheModal-60,mBody.css("max-height",mBodyH+"px");else{$(window).scrollTop(0),modalTopPos=10,$(".modal-xxl").css("top",modalTopPos+"px"),bottomOfTheModal=modalTopPos+mHeaderH+mBodyH+mFooterH,availableScroll=bottomOfTheModal-$(window).height()+modalTopPos;var lastPos=-1;$(window).on("scroll",(function(){var s=$(window).scrollTop()>availableScroll?availableScroll:$(window).scrollTop();newPos=modalTopPos-s,newPos!=lastPos&&($(".modal-xxl").css("top",newPos+"px"),lastPos=newPos)}))}}))}function popupHelp(url,title,w,h){var dualScreenLeft=void 0!==window.screenLeft?window.screenLeft:screen.left,dualScreenTop=void 0!==window.screenTop?window.screenTop:screen.top,width,height,left=(window.innerWidth?window.innerWidth:document.documentElement.clientWidth?document.documentElement.clientWidth:screen.width)/2-w/2+dualScreenLeft,top=(window.innerHeight?window.innerHeight:document.documentElement.clientHeight?document.documentElement.clientHeight:screen.height)/2-h/2+dualScreenTop,newWindow=window.open(url,title,"menubar=no,location=no,resizable=0, width="+w+", height="+h+", top="+top+", left="+left);return window.focus&&(newWindow?newWindow.focus():$('<div class="alert alert-warning" style="margin-bottom: 0px;"><p class="help-block">Pop Up blocked. Please allow Pop Ups in your browser settings.</p></div>').insertBefore("body")),newWindow}if($(".open-student-access-help").click((function(e){e.preventDefault();var h=$(window).height()-20,w=$(window).width()<1280?$(window).width():1280;popupHelp(helpURL,"Student Access Help",w,h)})),$(".pop-up-help").click((function(e){e.preventDefault();var url=$(this).attr("href"),title=$(this).data("title"),h=$(window).height()-20,w;popupHelp(url,title,$(window).width()<1280?$(window).width():1280,h)})),$("section.tib-hiddenbox").length){var count=0;$("section.tib-hiddenbox").each((function(){var box=$(this),revealButton;console.info(box),$("<a />").attr("class","btn showhider").attr("rel","hiddenBoxContent"+count).attr("style","margin-bottom: 0;").html('<i class="fa fa-eye"></i>').insertBefore(box);var newContainer=$("<div />").attr("class","hidden-content").attr("id","hiddenBoxContent"+count).html(box.html());newContainer.hide(),newContainer.insertBefore(box),box.remove(),count++})),$("a.showhider").on("click",(function(e){var container=$("#"+$(this).attr("rel"));container.is(":hidden")?(container.fadeIn("fast"),$(this).html('<i class="fa fa-eye-slash"></i>')):(container.fadeOut("fast"),$(this).html('<i class="fa fa-eye"></i>'))}))} let contentEditor=null;function toggleFilterOptions(){$("#bookmarks-list .item").length>0?($("#no-bookmarks-alert").hide(),$("#filter-favorites").attr("disabled",!1),$("button.delete-all-favourites").removeClass("disabled")):($("#no-bookmarks-alert").show(),$("#filter-favorites").attr("disabled",!0),$("button.delete-all-favourites").addClass("disabled"))}function showPageComment(){var favComms=$("#main-article .inline-page-actions .favcomms").removeClass("hidden").detach(),favContainer=$("<div />").attr({class:"fav-container",style:"display: none; overflow: hidden; clear: both; margin-top: 10px;"}).append(favComms),favUpdater=$("<button />").attr({class:"btn btn-small btn-success favcomms-updater pull-right",style:"margin: 10px 0 0 5px;"}).html('<i class="fa fa-save"></i> Save'),favCloser=$("<button />").attr({class:"btn btn-small favcomms-closer pull-right",style:"margin-top: 10px;"}).html("Close");favContainer.append(favUpdater),favContainer.append(favCloser);var breadcrumb=$("#main-article .section-title").next(".breadcrumb"),pageNotes;$("a.page-notes").on("click",(function(e){e.preventDefault(),favComms.parent("div").toggle("fast")})),breadcrumb.append(favContainer),favCloser.on("click",(function(e){e.preventDefault(),favComms.parent("div").toggle("fast")})),favUpdater.on("click",(function(e){e.preventDefault();var comms=$(this).closest(".fav-container").find("textarea.favcomms");$(this).html('<i class="fa fa-fw fa-spin fa-circle-o-notch"></i> Saving...'),saveFav(comms.data("pid"),comms.data("ticket"),contentEditor.getData(),$(this))})),initPersonalNotesEditor()}function searchFavorites(search){search.length>0?$("#bookmarks-list .item").each((function(){var title;$(this).find("h4.title").text().toLowerCase().indexOf(search.toLowerCase())>-1?$(this).show():$(this).hide()})):$("#bookmarks-list .item").show()}function bookmarkPage(pageId,random,action,button){var continueToPost=!0;"unfav"==action&&contentEditor.getData().length>3&&!confirm("You are about to delete your notes on this page. Are you sure?")&&(continueToPost=!1),continueToPost&&$.post("pages/bookmarks.php",{action:action,ids:[pageId],ticket:random},(function(data){if("1"==data.success)switch(action){case"fav":button.addClass("faved"),button.find("i").removeClass("fa-star-o"),button.find("i").addClass("fa-star colored");break;case"unfav":button.removeClass("faved"),button.find("i").removeClass("fa-star colored"),button.find("i").addClass("fa-star-o"),$("a.page-notes > img").attr("src",$("a.page-notes > img").attr("src").replace("page-notes2","page-notes")),$("#main-article .section-title").next(".breadcrumb").find("textarea.favcomms").val(""),contentEditor.setData("")}}),"json")}function saveFav(id,ticket,content,button){$.post("pages/bookmarks.php",{action:"save",ids:[id],ticket:ticket,content:content},(function(data){if(1==data.success){button.html('<i class="fa fa-save"></i> Saved!'),$("a.page-bookmarker").addClass("faved"),$("a.page-bookmarker > i").removeClass("fa-star-o"),$("a.page-bookmarker > i").addClass("fa-star colored");var imgSrc,array=$("a.page-notes > img").attr("src").split("/"),imgName=array[array.length-1];$("a.page-notes > img").attr("src",$("a.page-notes > img").attr("src").replace(imgName,content?"page-notes2.png":"page-notes.png")),setTimeout((function(){button.html('<i class="fa fa-save"></i> Save')}),3e3)}else alert("There was a problem saving your notes. Please contact support")}),"json")}function removeBookmarks(ids,ticket){$.post("pages/bookmarks.php",{ids:ids,ticket:ticket,action:"unfav"},(function(data){1==data.success&&ids.forEach((function(id){$('#bookmarks-list .item[data-id="'+id+'"]').fadeOut("fast",(function(){$(this).remove(),toggleFilterOptions()}))}))}),"json")}function initPersonalNotesEditor(){CKEDITOR.BasicEditor.create(document.querySelector("#editor"),{toolbar:{viewportTopOffset:50,items:["heading","|","bold","italic","underline","removeFormat","|","Link"]},link:{decorators:{addLinkNoFollow:{mode:"automatic",callback:function(url){if(null!=url)return["http://","http://www","https://","https://www","ftp:"].some(start=>url.startsWith(start))},attributes:{target:"_blank",class:"ck-link",rel:"nofollow"}}}}}).then((function(editor){contentEditor=editor})).catch((function(error){console.log(error)}))}$(document).ready((function(){$("a.page-bookmarker").click((function(e){var pid,random,action;e.preventDefault(),bookmarkPage($(this).data("pid"),$(this).data("ticket"),$(this).hasClass("faved")?"unfav":"fav",$(this))})),$("#main-article .inline-page-actions .favcomms").length>0&&showPageComment(),$(".bookmark-remover").click((function(e){e.preventDefault();const bookmarkIds=[];confirm("Please confirm you want to remove this favourite")&&(bookmarkIds.push($(this).closest(".item").data("id")),bookmarkIds.length>0&&removeBookmarks(bookmarkIds,userTicket))})),$(".delete-all-favourites").click((function(e){if(e.preventDefault(),$(this).hasClass("disabled"))return!1;const bookmarkIds=[];confirm("Please confirm you want to remove all favourites. This action cannot be undone.")&&($("#bookmarks-list .item").each((function(){bookmarkIds.push($(this).data("id"))})),bookmarkIds.length>0&&removeBookmarks(bookmarkIds,userTicket))})),$("#filter-favorites").on("change",(function(e){e.preventDefault(),"with-notes"==$(this).val()?window.location.href+="?show=notes":window.location.href=window.location.href.replace("&show=notes","").replace("?show=notes","")})),$("input.filter-bookmark").on("keydown",(function(e){var search;13===e.which&&(e.preventDefault(),searchFavorites($(this).val()))})),$("button.search-task-title").on("click",(function(e){var search;e.preventDefault(),searchFavorites($(this).prev("input.filter-bookmark").val())})),toggleFilterOptions()}));$('#tl-tabs a').click(function (e) {e.preventDefault();$(this).tab('show');});$('img.ico[src="https://assets.inthinking.net/thinkib/icons/comments.png"]').each(function(){var comment=$(this).attr("title");$(this).removeAttr("title");$(this).wrap('<a class="tib-popover" href="#" data-content="'+comment+'" data-togle="popover" data-placement="top" />')});$('img.ico[src="https://assets.inthinking.net/thinkib/icons/comments.png"]').each(function(){var comment=$(this).attr("title");$(this).removeAttr("title");$(this).wrap('<a class="tib-popover" href="#" data-content="'+comment+'" data-togle="popover" data-placement="top" />')});$(".tib-popover").popover({html:true,trigger:"hover",delay:{show:300,hide:300},placement:function(context,source){var position=$(source).position();if(position.top>200){return"top"}if(position.left<515){return"right"}if(position.top<200){return"bottom"}if(position.left>515){return"left"}return"top"}}).click(function(e){e.preventDefault()});var carouselTime=6500;$("div.carousel.slide").carousel({interval:carouselTime});$(".tib-indicators > img").click(function(){var index=$(this).index();var container=$(this).closest(".carousel.slide");container.carousel(index)}); $('a.btn.showhider').click(function(e) { var showHiderId = $( this ).attr('rel'); if ( $('#'+showHiderId).find('iframe').length > 0 ) { $('#'+showHiderId+' iframe').each(function() { if ( $(this).attr('src').indexOf('.pdf') > 0 ) { this.contentWindow.location.reload(true); } }); } }); var hTopmenu = $('#topmenu').height(); var n = 0; $('nav.top-nav > ul > li').each(function(k, e) { if (n > 1) { var diff = hTopmenu-(e.offsetTop+e.offsetHeight); $(e).find(' > ul ').css('margin-top', '-'+diff+'px'); } n++; }); }); </script> </body> </html>

Cambridge IGCSE Mathematics

InThinking Subject Sites

Quadratic Movers

'7 videos - 7 moving quadratic graphs. Reproduce these graphs from the basic parabola'

Cambridge IGCSE Mathematics

InThinking Subject Sites

InThinking Subject Sites for Cambridge IGCSE Teachers and their Classes

Supporting IGCSE educators

Developing great materials

Integrating student access

Meeting schools' needs

Quadratic Movers

'7 videos - 7 moving quadratic graphs. Reproduce these graphs from the basic parabola'