Question

How many of the following statements are correct?
1. Graph of $-f\left(x\right)$ is obtained by taking the reflection of $f\left(x\right)$ about x-axis.
2. Graph of $f(-x)$ is obtained by taking the reflection of $f\left(x\right)$ about x-axis.

3. Graph of $-f(-x)$ is obtained by taking the mirror image of the graph of $f\left(x\right)$ about x-axis and then about y-axis.

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Answer 1

Statements one and three are correct. In statement 2, we have to take the reflection about y-axis to get $f(-x)$.