Answer:
13 ft
Step-by-step explanation:
We assume your height formula is intended to be ...
h(t) = -16t² +20t +7
This will have its maximum value at ...
t = -b/(2a) = -20/(2(-16)) = 5/8
The height at that time is ...
h(5/8) = (-16(5/8) +20)(5/8) +7 = 10(5/8) +7 = 106/8 = 53/4 = 13 1/4 . . . ft
To the nearest whole foot, the diver will reach a height of 13 ft above the pool.
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<em>Additional comments</em>
The standard form quadratic can be described as ...
f(x) = ax² +bx +c
The extreme value occurs at ...
x = -b/(2a)
This can also be written as ...
f(x) = (ax +b)x +c
which can make it easier to evaluate for some numerical value of x.
