Question

question reflect the figure over the line y = -2. plot all of the points of the reflected figure. you may click a plotted point to delete it.

Explanation:

Step1: Recall reflection rule

For a point $(x,y)$ reflected over the horizontal line $y = k$, the new - point is $(x,2k - y)$. Here $k=-2$.

Step2: Take each vertex of the figure

Let's assume a vertex of the original figure has coordinates $(x,y)$. The coordinates of its reflection over the line $y=-2$ will be $(x,2\times(-2)-y)=(x,-4 - y)$.

Step3: Apply to all vertices

Repeat the above step for all vertices of the given polygon to get the vertices of the reflected figure. Then plot these new - vertices on the coordinate plane.

Answer:

Plot the new vertices obtained by using the rule $(x,y)\to(x,-4 - y)$ for each vertex of the original figure.