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 $a$ 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 $(x_1,y_1)$, $(x_2,y_2)$, $(x_3,y_3)$. From the graph, assume the points are $(1,-8)$, $(4,-5)$, $(3,-7)$.

Step3: Calculate new points

For the point $(1,-8)$:
The new $x$ - coordinate is $1-4=-3$, and the new $y$ - coordinate is $-8 + 6=-2$. So the new point is $(-3,-2)$.
For the point $(4,-5)$:
The new $x$ - coordinate is $4-4 = 0$, and the new $y$ - coordinate is $-5 + 6=1$. So the new point is $(0,1)$.
For the point $(3,-7)$:
The new $x$ - coordinate is $3-4=-1$, and the new $y$ - coordinate is $-7 + 6=-1$. So the new point is $(-1,-1)$.

Answer:

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