Question

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

Answer 1

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

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`