Question

If you vertically compress the absolute value parent function f(x)=lxl, by a factor of 3, what is the equation of the new function?
A. g(x) = |3x|
B. g(x) = |x-3|
C. g(x) = 1/3x
D. g(x) = 3|x|

Answer 1

Answer:

The equation of the new function will be the option C i.e. g(x) = 1/3lxl

Step-by-step explanation:

As the absolute value parent function is f(x)=lxl.

In order to vertically compress or stretch the parent function, we must have to multiply the function with a constant number.

Lets suppose that constant number is 'a'.

If a function is multiplied with a constant number i.e 'a', the function will compress or stretch depending upon the value of 'a'.

So,

If a > 1, then the function will vertically stretch.  

But, it if 0 < a < 1, then the function will vertically compress.

So, from the available options in the question, the parent function f(x)=lxl will be multiplied by 1/3 if we want to vertically compress the function.

Hence, the equation of the new function

will be the option C i.e. g(x) = 1/3lxl

keywords: absolute value, vertically compression, function

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