Angry Birds Quadratics Project

2. Angry Birds Quadratics
1. If the directions are in blue, you should write that work on another piece of
paper. If the directions are in black, write on the google doc.
2. Using the shared google drawing, create your own Angry Bird level. You can also
draw it by hand if you prefer that method.
3. Draw the parabola from the bird to the pig first. Make sure your vertex hits a
lattice point or the points that hit on the cross hairs.
4. Draw in any obstacles.
5. Draw your x and y-axis. The origin CAN’T go through the point where your bird is
initially launched.
6. Circle the vertex and write your coordinates of the vertex here ( 13 , 18 )
7. Using vertex form, you will create your equation for a quadratic.
8. Write the vertex form of a quadratic below. (use: insert equation)
(x )y = a − h 2
+ k
9. The A-value can be found by plugging in any other (x,y) coordinate along your
parabola.
10. Circle the x and y value you used on your graph (google drawing) and write
the coordinates here.
( 20 , 6 )
11. ​On your work paper, find the A-value by plugging the values into vertex form.
Show ALL work. (Note: Number each problem on your work paper! ) Be very
organized!
12. What is your final equation in vertex form? Write it below (Use insert equation)
− 24(x 3) 8y = . − 1 2
+ 1
13. On your work paper, using the A-value and vertex, write your equation and
convert it into standard form. Show ALL work.

3. 14. What is your equation in standard form? (use insert equation)
− 24x .24x 2.56y = . 2 + 6 − 2
15. Using your equation, find your zeroes mathematically. What are the various
ways we can find zeros of a quadratic?
1. Factoring
2. Quadratic formula
16. Find the zeros of your quadratic mathematically on your work paper.
17. Write the coordinates of your zeroes here ( 21.75, 0 ) ( 4.25 , 0 )
18. Do these zeros match your picture? Put a star on the zeros on your drawing.
The 4.25 matches but the 21.75 doesn’t
19. ​Using factored form, you will create your equation for a quadratic one more
time in factored form. Use your zeroes from #17 and plug these into factored
form for quadratics and pick another point along your line to solve for a. Show all
of your work on your work paper.
20. What is the factored form of quadratics? (use insert equation)
(x )(x )y = a − p − q
21. Convert factored form into standard form again. (Show ALL work).
22. What is your standard equation equation? (insert equation)
− 24x .24x 2.56y = . 2 + 6 − 2

4. 23. Self-check: Are both standard forms about the same? Look at #22 & #14.
Yes
If not, please go find your error! Do not move to the next step!
24. ​Using your standard form (either one) find your axis of symmetry
mathematically. Show ALL work.
25. Draw in your axis of symmetry using the draw line tool in google drawing.
x=13
26. Using your standard form, find your vertex mathematically.
27. Does this match your graph? (mark it – if it doesn’t match go find your error)
Yes (13,18)
28. Create a table of values using your equation (do not just use the calculator)
show work to the right for​ at least one ​point of values)
− 24(11) .24(11) 2.56y = . 2
+ 6 − 2
− 9.04 8.64 2.56y = 2 + 6 − 2
7.04y = 1
X Y
11 17.04
12 17.76
13 18
14 17.76
15 17.04
16 15.84
29. Plot the points on your original graph.

5. 30. ​Find your discriminant from your equation. What does this tell us about our
graph?
​17.28 The graph has 2 solutions