Question

Which of the following is the graph of the function y=x+2?(1 point)
Responses


Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 5 to 5 in one unit increments. A parabola opening upward is graphed on the coordinate plane. The parabola is formed by connecting points plotted at left parenthesis negative 4 comma 2 right parenthesis, left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.


Image with alt text: An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 4 to 4 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 2 right parenthesis and left parenthesis 2 comma 0 right parenthesis.

Answer 1

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:
1. The first graph shows a parabola, not a straight line.
2. 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 \(y = x + 2\).