Question

What do both of these functions have in common?A.They have the same vertical shiftB.They have the same vertical stretchC.They have the same horizontal translationD.They have the same end behavior

Answer 1

Given the functions:

$\begin{gathered} f(x)=\frac{3}{2}\left|x-7\right|-2 \\ \\ g(x)=1.5ln(x-2)+7 \end{gathered}$

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