Question

translate triangle abc, starting at (3, -0) (-3, -6) (0, 1), 6 units to the right and 1 unit up. which image below shows the result?

Explanation:

Step1: Define translation rule

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

Step2: Calculate new point A

Original $A(3,-6)$: $3+6=9$, $-6+1=-5$ → $(9,-5)$

Step3: Calculate new point B

Original $B(-3,-6)$: $-3+6=3$, $-6+1=-5$ → $(3,-5)$

Step4: Calculate new point C

Original $C(0,1)$: $0+6=6$, $1+1=2$ → $(6,2)$

Step5: Match to graph

The points $(9,-5)$, $(3,-5)$, $(6,2)$ form a triangle shifted right and up, matching option b.

Answer:

b