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.
A. g(x) = 5x + 6 + 4
B. g(x) = x - 41 + 6
C. g(x) = 1x - 61 + 4
D. g(x) = 5x + 4 + 6

B

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here f(x) is shifted 4 units to the right , so

g(x) = | x - 4 |

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted 6 units up , so

g(x) = | x - 4 | + 6 → B