Question

Which sequence of transformations will map figure Q onto figure Q'?

A
15
-44
-13
-42
-14
10
A
Qª
Translation of (x, y + 2), reflection over x = 1, and 180° rotation about the origin
Translation of (x, y-2), reflection over x = 1, and 180° rotation about the origin
Translation of (x, y-2), reflection over y = 1, and 180° rotation about the origin
Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin

Answer 1

The sequence of transformation that maps figure Q onto figure Q' is

Translation of (x, y + 2), reflection over y = 1, and 180° rotation about the origin

How to find the sequence of transformation

The sequence of transformation required in this case is includes

Translation of (x, y + 2): This is taking the figure 2 units up (vertically).

Reflection over y = 1: The effect of this reflection is creating the mirror image of the figure. The image will appear appear inverted and in third quadrant.

180° rotation about the origin: This is te final transformation that maps the figure Q in to Q'. The figure will move from the third quadrant to the first quadrant as in the diagram