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 can substitute \(-4\) for \(x\):

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

Now simplify the fraction:

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

Next, square this result:

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

Therefore,

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

The answer is \( f(-4) = \frac{1}{4} \).