Question

translate triangle abc, starting at (0, -5) (3, -5) (6, 2), to the left 4 units and up 3 units. which image shown is where it ends up?

Explanation:

Step1: Define translation rule

For a point $(x,y)$, left 4, up 3: $(x-4, y+3)$

Step2: Translate each vertex

• $(9,-5)$: $9-4=5$, $-5+3=-2$ → $(5,-2)$
• $(3,-5)$: $3-4=-1$, $-5+3=-2$ → $(-1,-2)$
• $(6,2)$: $6-4=2$, $2+3=5$ → $(2,5)$

Step3: Match to graph

The vertices $(5,-2)$, $(-1,-2)$, $(2,5)$ form a triangle positioned left and up from the original, matching option c.

Answer:

c