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

If The Graph Of Fx IsYAWhich Of The Following Is The Graph Of FxپتهOAOBIIIOCODYA class=

Sagot :

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.

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