Question

Describe how the transformed function below is obtained from its parent function.

y=|x-1|
A.The parent function y = |x| is stretched vertically by a factor of –1.
B.The parent function y = |x| is shifted 1 unit down.
C.The parent function y = |x| is shifted 1 unit to the left.
D.The parent function y = |x| is shifted 1 unit to the right.

Answer 1

when the function is being altered inside the function, the shift is horizontal. In x-a, the shift is in the positive direction while x+a would be in the negative direction, so your answer would be D

Answer 2

why wouldn't it be choice C?

Answer 3

when it's being modified within the absolute value, the shift is horizontal and in the opposite direction by that many units

Answer 4

ok, thanks for your help

Answer 5

no problem