Explanation:
We are given the graph of a function
[tex]f(x)[/tex]
The graph is:
And we need to find the corresponding graph for the function
[tex]f(-x)[/tex]
According to the reflection rules for functions:
[tex]\begin{gathered} for\text{ a function} \\ f(x) \\ f(-x)\text{ represents a REFLECTION ABOUT THE Y-AXIS} \end{gathered}[/tex]
This means that the graph of f(-x) will be a reflection across the y-axis, like a mirror, of the function f(x).
That reflection is presented in the following graph:
Which is option B.
Answer:
Option B.
