Given the functions:
[tex]\begin{gathered} f(x)=\frac{3}{2}\left|x-7\right|-2 \\ \\ g(x)=1.5ln(x-2)+7 \end{gathered}[/tex]
Let's determine what both functions have in common.
Apply the transformation rule for functions.
For a vertical stretch of b units, we have:
f(x) ==> b(f(x))
Where b > 1
Therefore, for f(x) and g(x), the parent functions are vertically by a factor of 1.5 units.
Therefore, we can say the two functions have the same vertical stretch.
ANSWER:
B.
They have the same vertical stretch
