Which of the following is the scaling factor a of the function f(x) = 3|x|?
-1 , -3, 1, 3

Solution:

For a function f(x), some of the transformations are as follows:

1. If a f(x) and |a| > 1,

then the function is stretched vertically by a factor of ‘a’.

2. If a f(x) and 0 < |a| < 1,

then the function is compressed vertically by a factor of ‘a’.

In the function f(x) = 3|x|

We see that the factor a is

a = 3 which is a > 1

It means that this function is stretched vertically by a factor of 3.

Which of the following is the scaling factor a of the function f(x) = 3|x|?

Summary:

The scaling factor a of the function f(x) = 3|x| is 3.