If f(x)=(x/8^)2 , what is f(−4) ?(1 point) f(−4)=()

1 answer

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

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

Now simplify \( \frac{-4}{8} \):

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

Now we square this value:

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

Thus, the value of \( f(-4) \) is

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