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.

Question

asked Sep 4, 2020 204k views

2 Answers

Galik · Answer 1 · 2020-09-09T01:35:54+0000

Answer:

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

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