SOLUTION: What is the standard form for a parabola that passes through the points (2,3) and has a vertex of (0, -2)

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Question 559049: What is the standard form for a parabola that passes through the points (2,3) and has a vertex of (0, -2)
Answer by lwsshak3(11628) About Me  (Show Source):
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What is the standard form for a parabola that passes through the points (2,3) and has a vertex of (0, -2)
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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 parabola:
y=A(x-h)^+k
3=A(2-0)^2-2
3=4A-2
4A=5
A=5/4
Equation:
y=(5/4)x^2-2