Question

What are two possible transformations that together could have been used to create the red figure from the blue figure?

mc023-1 (see picture for graph )
A. a translation of 2 units up followed by a translation of 4 units right
B. a rotation of 90 degrees counterclockwise about the origin followed by a translation of 2 units up
C. a reflection across the y axis followed by a translation of 2 units up
D. a translation of 2 units up followed by a reflection across the x axis

Answer 1

(c) a reflection across the y-axis followed by a translation 2 units up

Explanation:

You want to know transformations that will give the red figure from the blue one.

Observation

The red figure is reversed left-to-right with respect to the blue figure, so a reflection across a vertical line is required. The only answer choice that has such a reflection is ...

C. a reflection across the y axis followed by a translation of 2 units up