What kind of transformation converts the graph of f(x)=–5|x–2|–5 into the graph of g(x)=–5|x+4|–7?

Question

What kind of transformation converts the graph of f(x)=–5|x–2|–5 into the graph of g(x)=–5|x+4|–7?
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Solution 1

The transformation that converts the graph of f(x)=–5|x–2|–5 into the graph of g(x)=–5|x+4|–7 is a horizontal shift to the right by 6 units and a vertical shift down by 2 units.

Here's the step-by-step explanation:

  1. Horizontal Shift: The absolute value function f(x) = |x – 2| is shifted to f(x) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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