Question

If you apply the changes below to the absolute value parent function, f(x) = |x|,what is the equation of the new function?

• Shift 4 units to the right.
• Shift 6 units up.

Answer 1

just entered the answer and it was |x-4|+6

hope that helps!

Explanation:

Answer 2

Option B
`g\left(x\right)=\left|x-4\right|+6`

Explanation:

we have

`f\left(x\right)=\left|x\right|`

The vertex is the point (0,0)

If to the parent function apply

Shift 4 units to the right and Shift 6 units up

The rule of the translation is

(x,y) ------> (x+4,y+6)

so

The vertex of the new function is (4,6)

therefore

the equation of the new function is

`g\left(x\right)=\left|x-4\right|+6`