Question

Write an inequality for the graph.

y ≥ |x + 5| + 5

y ≤ |x – 5| – 5

y ≤ |x – 5| + 5

y ≥ |x – 5| + 5

Answer 1

y ≤ |x – 5| + 5

Explanation:

Answer 2

y ≤ |x – 5| + 5

Explanation:

The graph below has the vertex (5,5). This means that in the equation the function has been shifted up by addition of 5 and shifted right by subtraction of 5. This means y ≤ |x – 5| + 5 or y ≥ |x – 5| + 5 are the only options.

To determine, test a point from the shaded region like (0,0).

y ≤ |x – 5| + 5 is the solution.