2.04 Quadratic angry birds (Investigation)

Angry Birds 

The pigs have been stealing the birds’ eggs and that makes the birds very angry. To recapture their eggs they catapult themselves through the air to hit the naughty pigs, but they need to get exactly the right path. For each level, find the equation of the parabola that the angry bird must fly on. Then use the interactive to check your answer and see the solution.  

Level 1 

Angry bird starts at \left(0, 0\right). Pig is at \left(10, 0\right). Bird must pass through \left(5, 4\right). 

Check your level 1 answer here:

Level 2 

Angry bird starts at \left(0, 0\right). Pig is at \left(11, 2\right). Bird must pass through \left(16, 0\right).

Check your level 2 answer here:

Level 3 

Angry bird starts at \left( - 4 , - 1 \right). Pig is at \left(12, 2\right). Bird must pass through \left(0, 2\right). 

Check your level 3 answer here:

Level 4 

Angry bird starts at \left(1, - 2 \right). Pig is at \left(22, 2\right). Bird must pass through \left(21, 4\right). 

Check your level 4 answer here: