Question

Write the equations after translating the graph of y = |x|: one unit up,

Answer 1

Answer:

$g(x) = |x| + 1$

Step-by-step explanation:

Given

$y = |x|$

Required

Translate 1 unit up

Start by replacing y with f(x)

$f(x) = |x|$

To translate an the graph of an absolute function upward, you make use of the formula;

$g(x) = f(x) + k$

Where k is the number of units

In this case; $k = 1$

Hence;

$g(x) = f(x) + k$

Substitute $k = 1$

$g(x) = f(x) + 1$

Substitute  $f(x) = |x|$

$g(x) = |x| + 1$

Hence, the resulting equation is $g(x) = |x| + 1$