Question

ana dives into a pool off of a springboard high dive.
her height (in meters above the water), ( x ) seconds after diving, is modeled by
( h(x) = -5(x + 1)(x - 3) )
what is the height of ana above the water at the time of diving?
(\boxed{quad}) meters
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Explanation:

Step1: Determine the time of diving

At the time of diving, \( x = 0 \) seconds (since \( x \) is the time after diving).

Step2: Substitute \( x = 0 \) into the height function

We have the height function \( h(x)=-5(x + 1)(x - 3) \). Substitute \( x = 0 \) into this function:
\( h(0)=-5(0 + 1)(0 - 3) \)

Step3: Simplify the expression

First, calculate the values inside the parentheses: \( 0 + 1=1 \) and \( 0 - 3=-3 \). Then we have:
\( h(0)=-5\times1\times(-3) \)
Multiply the numbers: \( -5\times1=-5 \), and then \( -5\times(-3) = 15 \).

Answer:

15