SOLUTION: Write the equation of a parabola in vertex form with vertex (2, -2) and point (1, 1).

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Question 768362:
Write the equation of a parabola in vertex form with vertex (2, -2) and point (1, 1).



Answer by lwsshak3(11628) About Me  (Show Source):
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Write the equation of a parabola in vertex form with vertex (2, -2) and point (1, 1).
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Vertex form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex, A is a coefficient that affects the slope or narrowness of the curve.
For given parabola:
Using coordinates of given point (1,1)
1=A(1-2)^2-2
1=A(1)-2
A=3
Equation:
y=3(x-2)^2-2