Question

translate the figure 3 units left and 6 units down. plot all of the points of the translated figure. you may click a plotted point to delete it.

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated $a$ units left and $b$ units down, the new - point is $(x - a,y - b)$. Here $a = 3$ and $b = 6$.

Step2: Translate each vertex

Let's assume the vertices of the original figure are $(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)$. The new vertices will be $(x_1-3,y_1 - 6),(x_2-3,y_2 - 6),(x_3-3,y_3 - 6),(x_4-3,y_4 - 6)$. For example, if one vertex of the original figure is $(5,3)$, the new vertex will be $(5 - 3,3 - 6)=(2,-3)$.

Answer:

Plot the new points obtained by subtracting 3 from the $x$ - coordinates and 6 from the $y$ - coordinates of all the vertices of the original figure.