Question

TWhich of the following is the graph of f(-*)?X X X X

Answer 1

Step-by-step explanation:

We are given the graph of a function

`f(x)`

The graph is:

And we need to find the corresponding graph for the function

`f(-x)`

According to the reflection rules for functions:

`\begin{gathered} for\text{ a function} \\ f(x) \\ f(-x)\text{ represents a REFLECTION ABOUT THE Y-AXIS} \end{gathered}`

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.