Question

What do both of these functions have in common? f(x)=3/2|x-7|-2 g(x)=1.5in(x-2)+7​

Answer 1

I think it's b. 3/2 and 1.5 are the same the vertical stretch

Answer 2

Option: B is the correct answer.

B. They have the same vertical stretch.

Explanation:

We are given function f(x) as:

`f(x)=(3)/(2)|x-7|-2`

and function g(x) as:

`g(x)=1.5\ln(x-2)+7`

As we know that for any function of the type:

f(x)=a f(x)

if a>1 then the transformation would be a vertical stretch.

and if 0<a<1 then the transformation is a vertical shrink.

In the given function we see that the function f(x) has a vertical stretch of 3/2=1.5 units and the function g(x) has a vertical stretch of 1.5 units.

Hence, both the functions f(x) and g(x) have the same vertical stretch.