Modeling the Flight Paths
of Angry Birds
-19/2=81a
a=-19/162
y=-19/162 (x+3)2+(29/2)
Equation:
3=a(-14-(-11/2))2+5
-2=a( -17/2)2
-2=a(289/4)
a=-8/289
y=-8/289(x+5.5)2+5
First, square the binomial using the FOIL method (multiply firsts, outers, inners, and lasts). Then, distribute the coefficient a over the quadratic and combine like terms to get the constant.
Plug 7 x values into each equation obtained in Step 2 and find y coordinates. We can use the vertices and the other point we found.
x | y |
-11/2 | 5 |
-14 | 3 |
1 | 2219/578 |
-1 | 2571/578 |
0 | 2411/578 |
5 | 563/289 |
-5 | 1443/289 |
x | y |
-3 | 29/2 |
-12 | 5 |
1 | 2045/162 |
-1 | 2273/162 |
0 | 242/18 |
-10 | 1418/162 |
5 | 1133/162 |