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Write a function g whose graph represents the indicated transformation of the graph of f

Write A Function G Whose Graph Represents The Indicated Transformation Of The Graph Of F class=

Sagot :

Using translation concepts, the function g(x) is defined as follows:

g(x) = -f(x) - 8.

Since f(x) = |x|: g(x) = -|x| - 8.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the changes are given as follows:

  • Reflection over the x-axis: g(x) = -f(x).
  • Shift of 8 units down, hence: g(x) = -f(x) - 8;

Since f(x) = |x|: g(x) = -|x| - 8.

More can be learned about translation concepts at https://brainly.com/question/28373831

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