Question

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

•-1
•-3
• 1
• 3

Answer 1

Last option: 3

Explanation:

The following are some transformations for a function f(x):

1) If
`a(fx)` and
`|a|>1`, then this function is stretched vertically by a factor of "a".

2) If
`a(fx)` and
`0<|a|<1`, then this function is compressed vertically by a factor of "a".

Therefore, given the function
`f(x) = 3|x|`, we can observe that the factor "a" is:

`a=3`

Then:

`a>1`

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

Therefore, the scaling factor is 3.