Question

translate triangle abc, with vertices (-3, -2) (-0, -2) (-0, 5), 6 units to the right and 1 unit up. which image illustrates the result? a image of a triangle on a coordinate grid b image of a triangle on a coordinate grid c image of a triangle on a coordinate grid

Explanation:

Step1: Define translation rule

For a point $(x,y)$, translating right 6, up 1: $(x+6, y+1)$

Step2: Calculate new vertex A

Original $A(-3,-2)$: $\boldsymbol{(-3+6, -2+1)=(3,-1)}$

Step3: Calculate new vertex B

Original $B(-9,-2)$: $\boldsymbol{(-9+6, -2+1)=(-3,-1)}$

Step4: Calculate new vertex C

Original $C(-6,5)$: $\boldsymbol{(-6+6, 5+1)=(0,6)}$

Step5: Match to image

New vertices $(3,-1), (-3,-1), (0,6)$ match the triangle in option a.

Answer:

The correct image is option a.