Question

graph the image of △qrs after a translation 9 units down.

Explanation:

Step1: Recall translation rule

A translation 9 units down changes the y - coordinate of each point. The rule for a translation 9 units down is $(x,y)\to(x,y - 9)$.

Step2: Identify original points

Let's assume $Q(x_1,y_1)$, $R(x_2,y_2)$ and $S(x_3,y_3)$. From the graph, if $Q(4,3)$, $R(9,3)$ and $S(2,0)$.

Step3: Apply translation rule to each point

For point $Q$: $(4,3)\to(4,3 - 9)=(4,- 6)$.
For point $R$: $(9,3)\to(9,3 - 9)=(9,-6)$.
For point $S$: $(2,0)\to(2,0 - 9)=(2,-9)$.

Step4: Graph new triangle

Plot the points $Q'(4,-6)$, $R'(9,-6)$ and $S'(2,-9)$ and connect them to form $\triangle Q'R'S'$.

Answer:

Graph the triangle with vertices $(4,-6)$, $(9,-6)$ and $(2,-9)$.