Question

translate the figure 4 units left and 6 units up. 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 4 units left and 6 units up, the new - point is $(x - 4,y + 6)$.
Let the vertices of the original triangle be $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. Assume the vertices of the original triangle are $(1,-8),(4,-5),(4,-9)$.

Step2: Calculate new x - coordinates

For each vertex, subtract 4 from the x - coordinate.
$x_1'=x_1 - 4=1 - 4=-3$, $x_2'=x_2 - 4=4 - 4 = 0$, $x_3'=x_3 - 4=4 - 4 = 0$.

Step3: Calculate new y - coordinates

For each vertex, add 6 to the y - coordinate.
$y_1'=y_1 + 6=-8 + 6=-2$, $y_2'=y_2 + 6=-5 + 6 = 1$, $y_3'=y_3 + 6=-9 + 6=-3$.

Step4: Plot the new points

Plot the points $(-3,-2),(0,1),(0,-3)$ on the coordinate plane.

Answer:

Plot the points $(-3,-2),(0,1),(0,-3)$ on the given coordinate grid.