Question

Analyze the graph of the function f(x)=4|x+7|+8 compared to the graph of the absolute value function g(x)=|x| .

Answer 1

Given:

The functions

`\begin{gathered} g(x)=|x| \\ f(x)=4|x+7|+8 \end{gathered}`

Required:

Determine changes made in g(x) to get f(x).

Step-by-step explanation:

The steps are:

`\begin{gathered} f(x)=4|x+7|+8 \\ Shift\text{ the graph to the left }7\text{ units.} \\ Shift\text{ the graph upwards }8\text{ units.} \\ Apply\text{ a vertical stretch of }4\text{ units.} \end{gathered}`

So. fourth option is describing the f(x).

The graph

Answer:

Completed the answer.