Respuesta :

mathmate

Answer:

Step-by-step explanation:

The graph shown is f(x)=y=|x|

The required graph is g(x) = |x|-3 = f(x) -3

In general, the graph of f(x)-3 is 3 units below f(x), and has the same shape.

See attached graph. y=f(x)=|x| in blue, f(x)-3 = |x|-3 in red.

Ver imagen mathmate

Using translations, the equation shown is graphed at the end of this question.

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  • The parent function given is: [tex]y = |x|[/tex]
  • The equation given to be graphed is: [tex]y = |x| - 3[/tex]
  • Shifting a function down a units is the same as finding: [tex]f(x) - a[/tex]

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  • Considering the function as: [tex]f(x) = |x|[/tex]
  • In terms of the parent function, [tex]|x| - 3[/tex] is [tex]f(x) - 3[/tex]
  • Thus, the graph of the function is shifted down 3 units, and given at the end of this answer.

A similar problem is given at https://brainly.com/question/23960579

Ver imagen joaobezerra

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