Question

translate the figure 1 unit left and 7 units down. plot all of the points of the translated figure. you may click a plotted point to delete it. answer attempt 1 out of 2

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated 1 unit left and 7 units down, the new - point is $(x - 1,y - 7)$.
Let's assume the vertices of the original triangle are $(x_1,y_1)=(3,7)$, $(x_2,y_2)=(5,5)$, $(x_3,y_3)=(6,8)$.

Step2: Calculate new x - coordinates

For each vertex, subtract 1 from the x - coordinate.
$x_1'=x_1 - 1=3 - 1 = 2$, $x_2'=x_2 - 1=5 - 1 = 4$, $x_3'=x_3 - 1=6 - 1 = 5$.

Step3: Calculate new y - coordinates

For each vertex, subtract 7 from the y - coordinate.
$y_1'=y_1 - 7=7 - 7 = 0$, $y_2'=y_2 - 7=5 - 7=-2$, $y_3'=y_3 - 7=8 - 7 = 1$.
So the new vertices of the translated triangle are $(2,0)$, $(4, - 2)$, $(5,1)$.

Answer:

Plot the points $(2,0)$, $(4, - 2)$, $(5,1)$ on the coordinate - plane.