The function \(y = x + 2\) is a linear equation that represents a straight line with a slope of 1 and a y-intercept at (0, 2).
To visualize this, the line would pass through the following points:
- When \(x = 0\), \(y = 2\) (point (0, 2))
- When \(x = 1\), \(y = 3\) (point (1, 3))
- When \(x = -2\), \(y = 0\) (point (-2, 0))
- When \(x = -4\), \(y = -2\) (point (-4, -2))
Given the descriptions of the graphs:
- The first graph shows a parabola, not a straight line.
- The second graph describes a downward slanting line passing through points such as (0, 2) and (2, 0), which suggests it has a negative slope.
Neither of the described graphs appear to represent \(y = x + 2\). Therefore, based on the details, it seems that none of the options correctly depict the function \(y = x + 2\).