IsaiV315817 IsaiV315817
  • 25-10-2022
  • Mathematics
contestada

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

Analyze the graph of the function fx4x78 compared to the graph of the absolute value function gxx class=
Analyze the graph of the function fx4x78 compared to the graph of the absolute value function gxx class=
Analyze the graph of the function fx4x78 compared to the graph of the absolute value function gxx class=

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RandaA621010 RandaA621010
  • 25-10-2022

Given:

The functions

[tex]\begin{gathered} g(x)=|x| \\ f(x)=4|x+7|+8 \end{gathered}[/tex]

Required:

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

Explanation:

The steps are:

[tex]\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}[/tex]

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

The graph

Answer:

Completed the answer.

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