Question

if you vertically shift the absolute value parent function, f(x)=lxl up five units what is the equation of the new function?

Answer 1

G(x) = |x| + 5

Explanation:

Answer 2

`f(x) = |x|+5`

Explanation:

There is a parent function in absolute value as

f(x) = |x|

Given that this is shifted up by 5 units

This means no horizontal shift so x remains as it is

Since vertically shifted by 5 units, we get new function as

`f(x) = |x|+5`

This will make the parent function shift by 5 units up and hence y intercept would be

f(0) = 5

This function would be having minimum at (0,5) and symmetrical about x=0

Domain = all real numbers

Range =[5,infty)