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Write a function g whose graph represents a reflection in the y-axis followed by a translation 3 units to the right of the graph of f(x)=|x|.


g(x)=

Respuesta :

MrRoyal

Answer:

[tex]g(x) = |x - 3|[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x|[/tex]

Required

Translate 3 units right

The result of a right translated function is:

[tex]g(x) = f(x - h)[/tex]

Where h is the unit of translation

[tex]h = 3[/tex]

[tex]g(x) = f(x - 3)[/tex]

Solve for f(x - 3)

[tex]f(x) = |x|[/tex]

[tex]f(x - 3) = |x - 3|[/tex]

Hence;

[tex]g(x) = |x - 3|[/tex]

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