Question

the point s is plotted on the coordinate grid below. plot the point s, the reflection of s over the x - axis. click on the graph to plot a point. click a point to delete it.

Explanation:

Step1: Determine coordinates of S

From the graph, point \( S \) is at \( (-4, 6) \) (since it's 4 units left on x - axis and 6 units up on y - axis).

Step2: Apply reflection over x - axis rule

The rule for reflecting a point \( (x,y) \) over the \( x \) - axis is \( (x, -y) \). So for \( S(-4,6) \), the reflection \( S' \) will have coordinates \( (-4, - 6) \). To plot \( S' \), we move 4 units left on the x - axis and 6 units down on the y - axis.

Answer:

The point \( S' \) has coordinates \( (-4, - 6) \) and should be plotted at that location on the coordinate grid.