Question

graph the image of △abc after a translation 1 unit left and 6 units up.

Explanation:

Step1: Recall translation rule

For a translation 1 unit left and 6 units up, the rule for a point $(x,y)$ is $(x - 1,y+6)$.

Step2: Find new coordinates of point A

Point A has coordinates $(-5,1)$. Using the rule, the new coordinates are $(-5 - 1,1 + 6)=(-6,7)$.

Step3: Find new coordinates of point B

Point B has coordinates $(-4,3)$. Using the rule, the new coordinates are $(-4 - 1,3 + 6)=(-5,9)$.

Step4: Find new coordinates of point C

Point C has coordinates $(-2,-1)$. Using the rule, the new coordinates are $(-2 - 1,-1 + 6)=(-3,5)$.

Step5: Graph new triangle

Plot the points $(-6,7)$, $(-5,9)$ and $(-3,5)$ and connect them to form the new $\triangle A'B'C'$.

Answer:

Graph the points $(-6,7)$, $(-5,9)$ and $(-3,5)$ and connect them to get the image of $\triangle ABC$ after the translation.