Question

If the graph of f(x) is:YA+Which of the following is the graph of f(-x)?پتهOA..OB..IIIOC.OD..YA

Answer 1

Explanation.

We are given the graph of a function

`f(x)`

And we need to find the graph that represents

`f(-x)`

According to the reflection rules for functions:

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

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.