Explanation.
We are given the graph of a function
[tex]f(x)[/tex]
And we need to find the graph that represents
[tex]f(-x)[/tex]
According to the reflection rules for functions:
[tex]\begin{gathered} for\text{ a function} \\ f(x) \\ \rightarrow f(-x)\text{ represents a REFLECTION ABOUT THE Y-AXIS} \end{gathered}[/tex]
Therefore, we need to look for the option that represents a reflection across the y-axis of the given original function:
That reflection is presented in option C.
Answer:
Option C.
