Question

Given the parent function f(x) = |x|. Describe the transformations for the function g(x) = |x+5|-4.Select all that apply.- The graph is shifted 4 units up- The graph is shifted 5 units right- The graph is shifted 4 units down- The graph is shifted 5 units left

Answer 1

f(x) = |x|

f(x) -d is a vertical translation down d units

g(x) = f(x) -4

= |x| -4 is a vertical translation down 4 units ( shift down 4 units)

f(x+c) is a horizontal translation left c units

g(x) = |x+5| is a horizontal translation left 5 units ( shift left 5 units)

g(x) = |x+5| -4 is a shift left 5 units and a shift down 4 units