Question

when the triangle below is translated 1 unit to the left and 2 units down, which of the following is not a vertex of the translated image?
○ a. (1,2)
○ b. (-3,1)
○ c. (-5,-1)
○ d. (-2,-2)

Explanation:

Step1: Identify original vertices

Original vertices from graph: $(-2, 3)$, $(-4, 1)$, $(2, 4)$

Step2: Apply translation rule

Translation: $(x-1, y-2)$
New vertices:
$(-2-1, 3-2)=(-3,1)$
$(-4-1,1-2)=(-5,-1)$
$(2-1,4-2)=(1,2)$

Step3: Find non-vertex option

Check options: $(-2,-2)$ is not in new vertices.

Answer:

d. (-2,-2)