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 8 units left, shift 3 units down.
A. G(x)=|x-3|-8
B. G(x)=|x-3|+8
C. G(x)=|x-8|-3
G(x)=|x+8|-3

Answer 1

The transformation that shifts a function along the $x-axis$ is $f(x+a)$, which shifts the function to the left, and $f(x-a)$, which shifts the function to the right.

The transformation that shifts a function along the $y-axis$ is $f(x)+a$, which shifts the function up, and $f(x)-a$, which shifts the function down

Hence, the correct answer is D: $g(x)=f(x+8)-3$

Answer 2

Answer:

d is the correct answer!

Step-by-step explanation: