Question

which description of a figure and its image match the transformation described by (x,y)→(x,y + 3)?
a the figure and its image are similar and the image has been translated 3 units up.
b the figure and its image are similar and the image has been translated 3 units to the right.
c the figure and its image are neither similar nor congruent, and the image has been stretched horizontally.
d the figure and its image are neither similar nor congruent, and the image has been stretched vertically.

Explanation:

In the transformation $(x,y)\to(x,y + 3)$, the $x$-coordinate remains the same and the $y$-coordinate of each point in the original figure is increased by 3. This is a vertical translation. Since only the position changes and the size and shape remain the same, the figure and its image are similar.

Answer:

The figure and its image are similar and the image has been translated 3 units up.