SOLUTION: The graph of a function F is a parabola that has the x-intercepts 7 and 13. The function has a minimum value of -12. The function is F(x) = Thank you

Question 932980: The graph of a function F is a parabola that has the x-intercepts 7 and 13. The function has a minimum value of -12.
The function is
F(x) =
Thank you
Found 2 solutions by ewatrrr, josgarithmetic:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
y = a(x-h)^2 - 12
.......
a(13-h)^2 - 12 = 0
-(a(7-h)^2 - 12 = 0)
a(13-h)^2 -a(7-h)^2 = 0
(13-h)^2 =(7-h)^2
h = 10
..........
0 =a(13-10)^2 - 12
12/9 = a
.......
y = (4/3)(x-10)^2 - 12

Answer by josgarithmetic(39631) (Show Source): You can put this solution on YOUR website!
The function value of occurs in the middle x value of 7 and 13.

, and you just need to find a.

Symmetry axis, .

The equation is in factored but not standard form.
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