Question
Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.

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Question  Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.

Acacia · Answer

Using  translation  concepts, the  function g(x)  is given by:  g(x) = |x/4|    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  parent  function is given by:  f(x) = |x|    The  changes  are as follows:    Horizontal stretch  by a factor of 4, hence x -> x/4.     Reflection over the y-axis,  hence x -> -x. Since |x| = |-x|, this effectively does nothing for the function.     Hence the  function g(x)  is given by:  g(x) = |x/4|    More can be learned about  translation  concepts at https://brainly.com/question/4521517  #SPJ1

What is a translation?

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