Question

the triangles on the grid below represent a translation.
to form the image, the pre - image moved ______.
○ five units right and three units up.
○ two units right and three units up.
○ two units left and three units down.
○ five units left and three units down.

Explanation:

Step1: Identify pre-image and image points

Take point $B(-4,-2)$ (pre-image) and $B'(1,1)$ (image).

Step2: Calculate horizontal translation

Subtract pre-image x-coordinate from image x-coordinate: $1 - (-4) = 5$. This means 5 units right.

Step3: Calculate vertical translation

Subtract pre-image y-coordinate from image y-coordinate: $1 - (-2) = 3$. This means 3 units up.

Answer:

five units right and three units up.