Question

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x - 6|?. . . shift 6 units up. shift 6 units down. shift 6 units left. shift 6 units right. . My awnser is d

Answer 1

The correct answer to this question is "shift 6 units right."
The statement that best describes how to translate the graph y = |x| to obtain the graph of y = |x - 6| is that shift 6 units right.

From the equation y = |x - 6|, the graph will show you 6 units to the right.

Answer 2

Shift 6 units right.

Explanation:

Easiest way to answer this question is to plot the two graphs:

Let's plot these graphs and analyse each graph.

Lets take the graph of
`y=|x|` that is attached.

We can clearly see that graph intersects x axis at x=0 and then essentially looks like y=x is mirrored by the y axis.

Now when we look at the
`y=|x-6|` that is attached,

We can see that graph intersects x axis at x=6 and is a composite graph of
`y=|x-6|` and its mirrored graph by y=6.

We can clearly see that graph has moved 6 units to the right.