Question

Question 19 What must be done to the graph of f(x) = |x| to obtain the graph of the function g(x) = 3/7 |x+4|-10?

Answer 1

Answer:

The graph of f is shifted left 4 units, vertically shrunk by a factor of $\frac{3}{7}$ and shifted down 10 units.

Step-by-step explanation:

The base graph is $f(x)=|x|$

The transformed graph is $g(x)=\frac{3}{7}|x+4|-10$

Let us rewrite $g(x)$ in terms of $f(x)$ to get:

$g(x)=\frac{3}{7}f(x+4)-10$

This means that $f(x)$ was vertically shrunk by a factor of $\frac{3}{7}$ and shifted  4 units to the left and 10 units down.