Question

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

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ over the $x - axis$, the rule is $(x,y)\to(x, - y)$. The $x$-coordinate remains the same and the $y$-coordinate changes sign.

Step2: Assume coordinates of Q

Let the coordinates of point $Q$ be $(x_0,y_0)$. Since we don't know the exact coordinates from the description but we know the rule, for the reflection $Q'$ the coordinates will be $(x_0,-y_0)$. On the graph, measure the vertical distance of $Q$ from the $x - axis$ and then plot $Q'$ the same horizontal distance from the $x - axis$ but on the opposite side.

Answer:

Plot a point with the same $x$-coordinate as $Q$ and the $y$-coordinate that is the negative of the $y$-coordinate of $Q$.