SOLUTION: Suppose you throw a ball over a 10-ft fence. Barely clearing the fence, the ball reaches its highest point directly above the fence and lands 10 ft from the fence. Using the fence

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Question 1000515: Suppose you throw a ball over a 10-ft fence. Barely clearing the fence, the ball reaches its highest point directly above the fence and lands 10 ft from the fence. Using the fence as the axis of symmetry, write a quadratic function that models the ball’s height.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Parabola shape, opening downward so the vertex is a maximum, at (0,10). Using behind the fence at ground level to be a zero then other side of fence where ball lands is the other zero. These are (-10,0) and (10,0).

The function would be p%28x%29=a%28x%2B10%29%28x-10%29, and use the vertex to find the factor, a.

10=a%280%2B10%29%280-10%29
a%2810%29%28-10%29=10
a=-%281%2F10%29

p%28x%29=-%281%2F10%29%28x-10%29%28x%2B10%29, factored form.