SOLUTION: Determine the quadratic function f whose vertex is (2,-3) and passes through (3,-1). Write answer in f(x)=ax^2+bx+c

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Question 937308: Determine the quadratic function f whose vertex is (2,-3) and passes through (3,-1). Write answer in f(x)=ax^2+bx+c
Answer by lwsshak3(11628) About Me  (Show Source):
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Determine the quadratic function f whose vertex is (2,-3) and passes through (3,-1). Write answer in f(x)=ax^2+bx+c
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vertex form of equation for a parabola:
y=A(x-h)^2+k, (h,k)=coordinates of the vertex
Solve for A from given coordinates of the vertex and point on the curve.
-1=A(3-2)^2-3
2=A
equation:y=2(x-2)^2-3=2(x^2-4x+4)-3)=2x^2-8x+8-3=2x^2-8x+5
f(x)=2x^2-8x+5