Question

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

Answer 1

Answer:

Last option: 3

Step-by-step 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.