Question

Select all that apply.

The following graph shows an ellipse that suffered several transformations. Which of the following two sets of combinations of transformations could map ellipse 1 into ellipse 2? You may choose more than one correct answer.

Answer 1

C.) Rotation of 90° clockwise by the origin O, and translation 2 units to the left

D.) Reflection along y = -x, and translation 6 units to the right

Explanation:

Answer 2

As the transformation done on the ellipse is

1. Rotation

2. Reflection

because neither the shape nor the size of ellipse changes.

First ellipse is rotated by an angle of 90°in clockwise Direction, then

it has been reflected through y axis i.e line x=0.

So , the two transformations are

1. Rotation by 90° in clockwise direction 2. Reflection along positive Y axis , i.e line x=0.