Question

The graph of a function is shown below.



Which of the following options best represents the graph of the function?

y = |x + 2|
y = |x| + 2
y = |x| - 2
y = |x - 2|

Answer 1

I can't see the graph you mention. Could you upload the image or describe it (vertex location and a couple of points)?

Meanwhile, here's a quick way to pick among those four:

- y = |x + 2| has vertex at (−2, 0).
- y = |x| + 2 has vertex at (0, 2).
- y = |x| − 2 has vertex at (0, −2).
- y = |x − 2| has vertex at (2, 0).

Also check the y‑intercept (x = 0): |x+2|, |x|+2, and |x−2| all give y = 2 at x = 0; |x| − 2 gives y = −2. Send the graph or its vertex and one other point and I’ll pick the correct option.