The graph of the function reflected across the x-axis is (b)
Reflecting the function across the x-axis
From the question, we have the following parameters that can be used in our computation:
The graph
Some of the coordinates that can be read from the graph are
(0, -1), (1, 1), (2, 1), (3, 0)
When represented as a table, we have
x y
0 -1
1 1
2 1
3 0
The rule of a reflection across the x-axis is
(x, y) = (x, -y)
This means that we negate the y-coordinate
So, we have the following table of values after the reflection
x y
0 1
1 -1
2 -1
3 0
The graph that shows the above table of values is the graph (b) i.e. the second graph
Hence, the function reflected across the x-axis is (b)