Question

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

Explanation:

Step1: Identify coordinates of U

From the graph, point \( U \) is at \( (2, 1) \) (since it's 2 units right on x - axis and 1 unit up on y - axis).

Step2: Apply reflection over x - axis rule

The rule for reflecting a point \( (x,y) \) over the \( x \) - axis is \( (x, -y) \). For \( U(2,1) \), the reflected point \( U' \) will have coordinates \( (2, - 1) \).

Step3: Plot the point

On the coordinate grid, move 2 units to the right on the x - axis and 1 unit down on the y - axis to plot \( U'(2, - 1) \).

Answer:

The point \( U' \) is plotted at \( (2, - 1) \) (by moving to \( x = 2 \) and \( y=-1 \) on the coordinate grid).