SOLUTION: find the equation of the parabola with a vertex (-2,3) and passing through the point (0,8).

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Question 531799: find the equation of the parabola with a vertex (-2,3) and passing through the point (0,8).
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the equation of the parabola with a vertex (-2,3) and passing through the point (0,8)
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Standard form of equation for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
For given problem:
Using coordinates of given vertex at (-2,3)
y=A(x+2)^2+3
Using coordinates of given point (0,8)
8=A(0+2)^2+3
8=4A+3
4A=5
A=5/4
Equation of parabola:
y=(5/4)(x+2)^2+3
See graph below as a visual check on answer:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%285%2F4%29%28x%2B2%29%5E2%2B3%29+