Question

Which of the following describes how to translate the graph y = Ixl to obtain the graph of y = 1x - 11 - 1?

1 unit left and 1 unit down
1 unit left and 1 unit up
1 unit right and 1 unit down
1 unit right and 1 unit up

Answer 1

A statement that best describes how to translate the graph y = Ixl to obtain the graph of y = |x - 1| - 1 is: C. 1 unit right and 1 unit down.

In Mathematics, the vertex form of the equation for an absolute value function can be modeled by the following:

y = a|x - h| + k.

Where:

• h and k are the vertex of the graph.
• a is a numerical constant.

By critically observing the equation of the transformed absolute value function, we can logically deduce that the parent absolute value function y = |x| was horizontally shifted to the right by 1 unit and then vertically shifted 1 unit down as follows;

y = a|x - h| + k.

y = |x - 1| - 1

Complete Question:

Which of the following describes how to translate the graph y = Ixl to obtain the graph of y = |x - 1| - 1?

1 unit left and 1 unit down

1 unit left and 1 unit up

1 unit right and 1 unit down

1 unit right and 1 unit up

Answer 2

Explanation:

While your y = 1x - 11 - 1 is a function, it doesn't make sense in this context. I believe you meant y = |x - 11| - 1.

if that's correct, then the graph of this new function is obtained by translating the graph of y = |x| 11 units to the right and 1 unit down.

Unfortunately this result doesn't match any of the four answer choices. I ask that you go back to the original problem and type out the original of

y = 1x - 11 - 1.