Question

Which statement about the following graph is correct?

O
The graph is symmetric about the line x = -1.
The graph is symmetric about the line y = -1.
The graph is not symmetric.
The graph is symmetric about the line x-1.

Answer 1

The graph is symmetric about the line x=-1

Explanation:

Answer 2

the graph is symmetric about the line y=-1

Explanation:

A function is symmetric about y=a when the following is true for all points: f(a-x) = f(a+x). By just looking at the graph, it appears to be symmetric about y=-1, and it can be further proven, by finding the difference of two points, that have the same y-value. So for example if you look at (0, 1) and (-2, 1). The difference between 0 and -1 is 1, and the difference between -2 and -1, is also 1. And this appears to be true for all the other values as well. So the graph is symmetric about the line y=-1