The problem asks for the correct table representation of the function $y = f(-x)$ based on the graph of the original function $y = f(x)$.

Key concept:

When you substitute $-x$ into the function, you reflect the graph of $f(x)$ across the y-axis. This means that the output values will remain the same, but the input values (x-values) will change signs. Specifically:

• If $f(a) = b$, then $f(-a) = f(a) = b$.

To analyze the tables:

We look for the table where the x-values have been reflected, but the corresponding $f(x)$ values are unchanged.

Steps:

• If $f(x) = -2$ when $x = 1$, then $f(-1) = -2$.
• If $f(x) = 0$ when $x = 2$, then $f(-2) = 0$.
• If $f(x) = -2$ when $x = 3$, then $f(-3) = -2$.

Looking at the four options, the correct table is the third one: