To get the graph of $f (a x)$ from $f (x)$ , shrink or contract the graph of $f (x)$ 'a' times along x-axis, where $a > 1$ .

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
True

$f (a x)$ attains the same value of $f (x)$ for $x = \frac{x}{a}$ . (When $x = \frac{x}{a}$ , $f (a x) = f (x))$ .

So everything (values of y) in $f (x)$ happens before it happens in $f (x)$ . So the graph will shrink and the frequency will increase

Suggest Corrections

Similar questions

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)|

The graph showing the variation of the square of time period $(T^{2})$ on Y-axis against the length $(l)$ on the X-axis of a pendulum is a straight line parallel to the $(l)$ axis or the X-axis.

How many time, graph of the polynomial $f (x) = x^{3} - 1$ will intersect $x -$ axis.

Graph of $| f (| x |) |$ is obtained from f(x) through the following steps.

1. Take the reflection of the part of f(x) which is below x-axis

2. Remove the part on negative x-axis

3. Take the reflection of the remaining part about y-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.

___

Join BYJU'S Learning Program

To get the graph of f(ax) from f(x), shrink or contract the graph of f(x) 'a' times along x-axis, where a > 1.

The correct option is A True f(ax) attains the same value of f(x) for x = xa. (When x = xa, f(ax)=f(x)). So everything (values of y) in f(x) happens before it happens in f(x). So the graph will shrink and the frequency will increase

To get the graph of $f (a x)$ from $f (x)$ , shrink or contract the graph of $f (x)$ 'a' times along x-axis, where $a > 1$ .

The correct option is A
True

$f (a x)$ attains the same value of $f (x)$ for $x = \frac{x}{a}$ . (When $x = \frac{x}{a}$ , $f (a x) = f (x))$ .

So everything (values of y) in $f (x)$ happens before it happens in $f (x)$ . So the graph will shrink and the frequency will increase