If f(x)=( x/8 )2, what is f(−4)

Question

?(1 point)
f(−4)=

Answer 1

To find \( f(-4) \) for the function \( f(x) = \left( \frac{x}{8} \right)^2 \), we can substitute \(-4\) into the function:

\[ f(-4) = \left( \frac{-4}{8} \right)^2 \]

First, simplify the fraction:

\[ \frac{-4}{8} = -\frac{1}{2} \]

Now, square this value:

\[ f(-4) = \left( -\frac{1}{2} \right)^2 = \frac{1}{4} \]

Thus, the final answer is:

\[ f(-4) = \frac{1}{4} \]