Which of the following is the graph of the function y=x+2?(1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage 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.%0D%0A%0D%0A%0D%0AImage 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 circle is graphed on the coordinate plane. The circle is formed by connecting points plotted at left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.%0D%0A%0D%0A%0D%0AImage 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. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 2 comma 0 right parenthesis, and left parenthesis 0 comma 2 right parenthesis.%0D%0A%0D%0A%0D%0AImage 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.
The description provided indicates that there are four images. However, to find the graph of the function y = x + 2, we don't need to see the actual images – we can determine which description fits the function based on the information provided.
The function y = x + 2 is a linear equation in slope-intercept form, where the slope (m) is 1 and the y-intercept (b) is 2. This means that for every increase in x by 1, y will also increase by 1. Additionally, when x is 0, y will be 2. Graphically, this is an upward slanting line that passes through the point (0, 2).
Let's evaluate the descriptions based on this information:
1. A downward slanting line passing through points (0, 2) and (2, 0) cannot be the function y = x + 2 because the line should be upward slanting, not downward.
2. A circle formed by connecting points (-2, 0), (0, 2), and (2, 0) is not related to the linear function y = x + 2 because the description indicates that it is a circle.
3. An upward slanting line that passes through points (-2, 0) and (0, 2) could represent the function y = x + 2 since it's upward slanting and passes through the point (0, 2), matching the y-intercept.
4. A parabola opening upward formed by connecting points (-4, 2), (-2, 0), and (0, 2) does not represent the linear function y = x + 2 as it is a parabola, which is the graph of a quadratic function.
Based on the descriptions, the third image with "An upward slanting line graphed on the coordinate plane, passing through points (-2, 0) and (0, 2)" is the correct graph of the function y = x + 2.