Question

reflect the figure over the line y = -1. 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 - $y$ value is given by $y'=2k - y$ and the $x$ - value remains the same, i.e., $x'=x$. Here $k=-1$.

Step2: Let's assume a point $(x,y)$ on the original figure

The reflected point $(x',y')$ has $x' = x$ and $y'=2\times(-1)-y=-2 - y$.
For example, if we have a point $(3,-5)$ on the original figure:
$x'=3$ and $y'=-2-(-5)=-2 + 5 = 3$.
We need to apply this rule to all the vertices of the given figure.

Answer:

To plot the reflected figure, for each point $(x,y)$ of the original figure, calculate the new point $(x, - 2 - y)$ and plot these new points.