Question

figure n is transformed to figure n in 3 steps.
step 1: horizontal translation right 11 units
step 2: ____________
step 3: reflection across the x - axis
which transformation is needed in step 2 to map figure n onto figure n?
a vertical translation up 2 units
b horizontal translation left 2 units
c vertical translation down 2 units
d horizontal translation right 2 units

Explanation:

Step1: Analyze the y - coordinate change

After the first step (horizontal translation right 11 units), we need to consider the vertical position change before the reflection across the x - axis. The y - coordinate of the corresponding points of figure N and figure N' (before reflection) has a difference. By observing the grid, we can see that the y - coordinate of the points of the figure after the first step needs to be increased by 2 units to match the position before reflection.

Step2: Identify the transformation type

A change in the y - coordinate of all points of a figure is a vertical translation. Since the y - coordinate needs to be increased, it is a vertical translation up.

Answer:

A. vertical translation up 2 units