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


Asked by maham237 @ in Mathematics viewed by 315 People


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

Answered by maham237 @



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, 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.


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