if your parent function is y = |x-4|=|x| then the child function y=|x-4|+4 will be what

Question

choices.

A) 4 units to the right and 4 units up

B) 4 units to the left and 4 units down

C) 4 units to the left and 4 units up

D) 4 units to the right and 4 units down

E) at the came location (neither up nor down, neither left or right)

Answer 1

OK, I think you mean that the parent function is y = |x| and the child function is y = |x-4| + 4.

When you replace the x in the parent function with x-4, you translate the graph horizontally 4 units to the right. When you then add 4 to the parent function, you translate its graph up 4 units. So the answer is (A) 4 units to the right and 4 units up.