SOLUTION: Find the equation in standard form that has a vertex (-4, 7) and goes through (5, 0).

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Question 493252: Find the equation in standard form that has a vertex (-4, 7) and goes through (5, 0).
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation in standard form that has a vertex (-4, 7) and goes through (5, 0).
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Standard form of an equation for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
From given data:
0=A(5-(-4))^2+7
-7=A(5+4)^2=81A
A=-7/81
Equation:
y=(-7/81)(x+4)^2+7
see graph below as a visual check on equation
..
+graph%28+300%2C300%2C+-20%2C+20%2C+-20%2C+20%2C%28-7%2F81%29%28x%2B4%29%5E2%2B7%29+