Answer:
Option: B is the correct answer.
B. They have the same vertical stretch.
Step-by-step explanation:
We are given function f(x) as:
[tex]f(x)=\dfrac{3}{2}|x-7|-2[/tex]
and function g(x) as:
[tex]g(x)=1.5\ln(x-2)+7[/tex]
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.
