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

D.The parent function y = |x| is shifted 1 unit to the right.

Explanation:

We have been given the transformed function y = |x-1|.

It is an absolute value function hence, the parent function is y = |x|

Now, we can see that 1 has been subtracted in x in the parent function.

We know the transformation rule, which states that:

If y=f(x) is a parent function and if we subtract a constant "k" in x then the function will shift 'k' units right. And the equation would be y = f(x-k)

Here 1 is subtracted in 'x' thus, k = 1

And from the rule, the parent function will shift right by 1 unit.

Therefore, the correct option is

D.The parent function y = |x| is shifted 1 unit to the right.

Answer 2

I think the correct answer from the choices listed above is option A. The transformed function, y=|x-1|, is obtained from the parent function y = |x| is stretched vertically by a factor of -1. Hope this answers the question. Have a nice day. Feel free to ask more questions.