The graph of $- f (x)$ will be the mirror image of the graph of $f (x)$ about the $x -$ axis.

True

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False

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Solution

The correct option is A True

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Similar questions

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

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

___

Q. Graph of

f (- x)

will be the mirror image of graph of

f (x)

along the

Y -

axis.

If f(x) = $x^{n}$ then the graph of g(x) = $x^{\frac{1}{n}}$ is the mirror image of f(x) about y = x.

Q. While doing the transformation

f (x) \to | f (x) |

, we take the mirror image of the graph lying below x-axis and leave the other parts as it is to get the graph of f(x) from |f(x)|

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The graph of −f(x) will be the mirror image of the graph of f(x) about the x− axis.

The correct option is A True

The graph of $- f (x)$ will be the mirror image of the graph of $f (x)$ about the $x -$ axis.