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. answer attempt 1 out of 2

Explanation:

Step1: Recall translation rule

For a point $(x,y)$ translated $a$ units left and $b$ units up, the new - point is $(x - a,y + b)$. Here $a = 4$ and $b = 6$.

Step2: Identify original points

Let's assume the original points of the triangle are $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$. Suppose the points are $(1,-8)$, $(4,-5)$, $(3,-7)$.

Step3: Calculate new points

For $(x_1,y_1)=(1,-8)$:
The new point is $(1 - 4,-8 + 6)=(-3,-2)$.
For $(x_2,y_2)=(4,-5)$:
The new point is $(4 - 4,-5 + 6)=(0,1)$.
For $(x_3,y_3)=(3,-7)$:
The new point is $(3 - 4,-7 + 6)=(-1,-1)$.

Answer:

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