SOLUTION: Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions x-intercepts: −1 and 7 highest point has y-coordinate 4

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Question 1145962: Find the standard equation of a parabola that has a vertical axis and satisfies the given conditions
x-intercepts: −1 and 7 highest point has y-coordinate 4
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x%2B1%29%28x-7%29

vertex is (3,4).

a=y%2F%28%28x%2B1%29%28x-7%29%29
a=4%2F%284%2A%28-4%29%29
a=-1%2F4

y=-%281%2F4%29%28x%2B1%29%28x-7%29------adjust for form if desired.