Question

Write an inequality for the graph. It's not C.

A. y< |x-5| -5
B. y> |x-5| + 5
C. y< |x+5| + 5
D. y< |x-5| + 5

https://study.ashworthcollege.edu/access/content/group/59841a3a-ae83-40e0-9ad2-cdbb53b336a0/Algebra%20II%20Part%201/Algebra2_Exam_2_files/image092.jpg

Answer 1

Do you know how to graph y=|x|?

Answer 2

Based on the graph, the vertex of your equation is (5,5), meaning that your graph goes up by 5 and to the right by 5. You plug those values into your equation of y=|x|

Answer 3

So would it be y=|x-5|-5 or y=|x+5|+5?

Answer 4

this y=|x|
If I move over to the right 1, then we have the graph is y=|x-1|
like so:

If I move the graph of y=|x-1| up one unit, then it becomes y=|x-1|+1
like so