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`