Answer:
[tex]g(x) = |x| + 1[/tex]
Step-by-step explanation:
Given
[tex]y = |x|[/tex]
Required
Translate 1 unit up
Start by replacing y with f(x)
[tex]f(x) = |x|[/tex]
To translate an the graph of an absolute function upward, you make use of the formula;
[tex]g(x) = f(x) + k[/tex]
Where k is the number of units
In this case; [tex]k = 1[/tex]
Hence;
[tex]g(x) = f(x) + k[/tex]
Substitute [tex]k = 1[/tex]
[tex]g(x) = f(x) + 1[/tex]
Substitute [tex]f(x) = |x|[/tex]
[tex]g(x) = |x| + 1[/tex]
Hence, the resulting equation is [tex]g(x) = |x| + 1[/tex]
