Download Geogebra file here.

The projective of the angry bird is
known as a p_________________. It can be modeled by the general quadratic
equation y = ______________________________. Completing the square allows us to
use an alternate form of the quadratic equation to model the same projectile.

__Activity 1__
·
Check the checkbox “Show y = ax^2+bx+c”.

·
Move the slide with value a to change its value.

**Hint**: You can use the left and right arrow keys to change its value by 0.1 at one time.
·
Change the values of a, b and c to match the
project of the curve to destroy the bad piggies.

**Hint**: You may use tab or shift-tab to toggle between the slider controls forth and back and use the left or right arrow keys to change the values by 0.1 at one time.**Questions for Activity 1**

1.
Is it easy to get a perfect projectile to
destroy the bad piggies?

2.
What are the values of a, b and c for your best
estimate?

__Activity 2__
·
Check the checkbox “Show y = 0.5(x-h)^2+k”.

·
Move the slides with value h and k to change
their values to match the projectile of the curve to destroy the bad piggies.

**Questions for Activity 2**

3.
What are the values of h and k for your best
estimate?

4.
Comparing the 2 equations you have in activity 1
and 2:

(a) Are they the same?

(b) How do you change from one form to another?

(a) Are they the same?

(b) How do you change from one form to another?

For more exploration activity, refer to Ace-learning site
and navigate to

Explorative Activity -> Graphs -> Sketch of Quadratic Function Graphs I: y = ±(x-a)(x-b)

Explorative Activity -> Graphs -> Sketch of Quadratic Function Graphs I: y = ±(x-a)(x-b)