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Byju's Answer

Standard XII

Mathematics

Conjugate of a Complex Number

Graph of f-x ...

Question

Graph of $f (- x)$ will be the mirror image of graph of $f (x)$ along the $Y -$ axis.

True

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False

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Solution

The correct option is A True

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Similar questions

Q. The graph of

- f (x)

will be the mirror image of the graph of

f (x)

about the

x -

axis.

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. The graph of

y = - x^{2}

is the mirror image of along the

x -

axis.

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)|

Q. Let

f : (- \infty, 2) \to [6, \infty) . f (x) = 4 x^{2} - 16 x + 22

and

p (x)

is a function such that graph of

f (x)

are mirror image of each other

w . r . t

line

y = x

, then

P (10)

will be :-

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Graph of f(−x) will be the mirror image of graph of f(x) along the Y− axis.

The correct option is A True

Graph of $f (- x)$ will be the mirror image of graph of $f (x)$ along the $Y -$ axis.