Q. 2 - Precalculus Enhanced with Graphing Utilities

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 $y=f\left(x\right)$. 

Step-by-Step Solution

Answer

y

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'.