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Question 667355: Show work, determine the quadratic function f whose graph is given the vertex is (2,-7 and the y-intercept is -3.
F(x)=
Simplify your answer
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Show work, determine the quadratic function f whose graph is given the vertex is (2,-7 and the y-intercept is -3.
F(x)=
Simplify your answer
**
Using standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex
plug in given coordinates of vertex (2,-7)
y=A(x-2)^2-7
plug in given coordinates of y-intercept: (0,-3), then solve for A
-3=A(0-2)^2-7
-3=4A-7
4A=4
A=1
Equation of parabola: (quadratic function):
F(x)=(x-2)^2-7
see graph below:
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