Question

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)=

Answer 1

Answer:

$g(x) = |x - 3|$

Step-by-step explanation:

Given

$f(x) = |x|$

Required

Translate 3 units right

The result of a right translated function is:

$g(x) = f(x - h)$

Where h is the unit of translation

$h = 3$

$g(x) = f(x - 3)$

Solve for f(x - 3)

$f(x) = |x|$

$f(x - 3) = |x - 3|$

Hence;

$g(x) = |x - 3|$