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

The graph of f is shifted left 4 units, vertically shrunk by a factor of
`(3)/(7)` and shifted down 10 units.

Explanation:

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

The transformed graph is
`g(x)=(3)/(7)|x+4|-10`

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

`g(x)=(3)/(7)f(x+4)-10`

This means that
`f(x)` was vertically shrunk by a factor of
`(3)/(7)` and shifted 4 units to the left and 10 units down.