Question

If f(x) = (x/8)^2, what is f(-4)?

Answer 1

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

1. Substitute \( x = -4 \):
\[
f(-4) = \left(\frac{-4}{8}\right)^2
\]

2. Simplify the fraction:
\[
\frac{-4}{8} = -\frac{1}{2}
\]

3. Now, square the value:
\[
f(-4) = \left(-\frac{1}{2}\right)^2 = \frac{1}{4}
\]

Thus, the final result is:
\[
f(-4) = \frac{1}{4}
\]