Question

On a coordinate grid, point A is located in the first quadrant. Point B is located at (3, negative 1 over 2). Point C is a reflection of point B across the y-axis. Which graph shows these three points?

A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 2 grid lines to the left of the y-axis and 4 grid lines above the x-axis. A point B is plotted at 6 grid lines to the left of the y-axis and 1 grid line below the x-axis. A point C is plotted at 6 grid lines to the right of the y-axis and 1 grid line above the x-axis.
A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 2 grid lines to the right of the y-axis and 4 grid lines above the x-axis. Point B is plotted at 6 grid lines to the right of the y-axis and 1 grid line below the x-axis. Point C is plotted at 6 grid lines to the right of the y-axis and 1 grid line above the x-axis.
A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 2 grid lines to the right of the y-axis and 4 grid lines above the x-axis. Point B is plotted at 6 grid lines to the right of the y-axis and 1 grid line below the x-axis. Point C is plotted at 6 grid lines to the left of the y-axis and 1 grid line below the x-axis.
A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 2 grid lines to the left of the y-axis and 4 grid lines above the x-axis. Point B is plotted at 6 grid lines to the left of the y-axis and 1 grid line below the x-axis. Point C is plotted at 6 grid lines to the left of the y-axis and 1 grid line above the x-axis.

Answer 1

A coordinate grid from negative 3 to positive 3 on both axes is drawn in increments of 1 over 2. Point A is plotted 2 grid lines to the right of the y-axis and 4 grid lines above the x-axis. Point B is plotted at 6 grid lines to the right of the y-axis and 1 grid line below the x-axis. Point C is plotted at 6 grid lines to the left of the y-axis and 1 grid line below the x-axis.

Step-by-step explanation:

Each unit is represented by 2 grid lines. This means the coordinates of B (3, -1/2) will be 2×(3, -1/2) = (6, -1) grid lines. The reflection of B across the y-axis to get C will change the sign of the x-coordinate, so C is (-6, -1) in terms of grid lines. (Positive is above or right; negative is below or left.)

The above description is the only one that has the points in the right places.