Question

Suppose that the graph of a function $f$is known. Then the graph of $y=f(-x)$ may be obtained by a reflection about the ________-axis of the graph of the function $y=f\left(x\right)$.

Short answer

y

Step-by-step solution

Step 1. Concept Used

When the argument $x$of the function $f$is replaced by $-x$, the graph of the new function $y=f(-x)$is the graph of $f$reflected about the $y$-axis.

Step 2. Fill in the blanks

When the graph of the function $y=f\left(x\right)$is known, the graph of the new function $y=f(-x)$is the reflection about the $y$-axis of the graph of the function $y=f\left(x\right)$.

So the blank is filled with 'y'.