# Angry Birds 2

### 'Take aim and shoot those naughty pigs!'

The pigs have stolen the birds’ eggs.  That makes them angry, very angry. They take aim and launch themselves towards the pigs to get their revenge and reclaim their babies. Based on the classic angry birds game you will be guiding the birds to ensure that their aim is good.  Enter the correct quadratic equation and birds fly on the right path and knock out the pigs.  There are four levels to this game. Each successive level gets more difficult as the information makes the calculation more challenging.  Before attempting this game, you should know and understand the basic properties of the quadratic function, findings zeros, the apex and it might be helpful to be able to solve simultaneous equations.

### Angry Birds 1

If you find the games below a little difficult maybe you should try Angry Birds 1 - The Prequel.

You can discover the properties of graph in the form y = a (x - h) (x - k)

This short video will give you an idea of what this activity entails. Use the information to work out the equation of the parabola.  Enter it in the game and press play.

### Resources

The  Angry Birds worksheet has the four questions with the required information (3 sets of coordinates) to be able to calculate the correct equation of the correct path.

You will find the associated angry bird games below.

If you are using Internet Explorer you may experience some difficulties viewing the applets below. If that is the case try these direct links to the applets

### Description

Here follows an outline of what the task is.

• These catapulted birds act under gravity hence follow a parabolic path. Your job is to calculate this path from the information you are given.

• You will need to understand the quadratic equation y = ax² + bx + c and its graph.

• You will probably use the form y=a(x - p)(x - q) and be able to use it to locate the zeros of the function (where the graph crosses the x axis).

• If you are not confident in the properties of the quadratic graph you could attempt these activities first.

#### Level 1

Angry bird starts at (0 , 0).  Pig is at (10 , 0).  Bird must pass through (5,4).
Enter the equation in the space below and press play.  Try NOT to guess, calculate the equation of the path from the information you are given.

#### Level 2

Angry bird starts at (0 , 0).  Pig is at (11 , 2).  Bird must pass through (16,0).
Enter the equation in the space below and press play.

#### Level 3

Angry bird starts at (-4 , -1).  Pig is at (12 , 2).  Bird must pass through (0,2).
You will probably need to adopt a different approach here.

#### Level 4

Angry bird starts at (1 , -2).  Pig is at (22 , 2).  Bird must pass through (21,4).
This is more difficult! Need a clue? The general equation of a quadratic is y = ax² + bx + c.  If (1 , -2) lies on the curve then -2 = a(1)² + b(1) + c, ...

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