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

Respuesta :

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

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

Hence, the correct answer is D: [tex]g(x)=f(x+8)-3[/tex]

Answer:

d is the correct answer!

Step-by-step explanation: