SOLUTION: The graph of a function F is a parabola that has the x-intercepts 5 and 21. The function has a minimum value of -56.
The function is
F(x) = ____
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Question 906403: The graph of a function F is a parabola that has the x-intercepts 5 and 21. The function has a minimum value of -56.
The function is
F(x) = ____
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The graph of a function F is a parabola that has the x-intercepts 5 and 21. The function has a minimum value of -56.
The function is
F(x) =0.875(x-13)^2-56
***
Vertex form of equation for a parabola:
y=A(x-h)^2+k, (h,k)=coordinates of vertex
k=-56(given)
h=13 (midway between 5 and 21)(given x-intercepts)
equation:y=A(x-13)^2-56
solve for A using one of given points (5,0) on the curve
0=A(5-13)^2-56
64A=56
A=56/64=0.875
equation:y=0.875(x-13)^2-56
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