SOLUTION: I need your to put this in equation form y=a(x-h)^2 (-1, -4) (7,-4)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need your to put this in equation form y=a(x-h)^2 (-1, -4) (7,-4)       Log On


   

Question 791826: I need your to put this in equation form y=a(x-h)^2
(-1, -4) (7,-4)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The equation indicates standard form and the vertex is on the x-axis. Knowing this is because "k" is zero. We can find "h" easily because the two given points have the same y value, so the vertex is directly in the middle.

%28-1%2B%287%29%29%2F2=3
this means h=3.
The vertex is (3,0).

Use either of the given points to find "a".
y=a%28x-3%29%5E2
a=y%2F%28x-3%29%5E2
a=%28-4%29%2F%287-3%29%5E2=%28-4%29%2F%284%29%5E2
a=-1%2F4

ANSWER: highlight%28y=-%281%2F4%29%28x-3%29%5E2%29