Question

Describe the transformation that maps the pre-image A to the image A.translated 8 units up and then reflected across the y-axisB)translated 8 units down and then reflected across the y-axisC)translated 1 unit to left and then rotated 180° counterclockwise about theoriginD)translated 1 unit to right and then rotated 180° counterclockwise about theorigin

Answer 1

Answer:

C. translated 1 unit to left and then rotated 180° counterclockwise about the

origin

Explanation:

In the graph:

• The vertices of Figure A are: (0,4), (-9,3) and (-9,6)

,

• The vertices of Figure A' are: (1,-4), (10,-3) and (10,-6)

If Figure A is translated 1 unit to the left, the vertices are:

$(-1,4),(-10,3),(-10,6)$

Next, a rotation of 180° counterclockwise about the origin gives:

$(1,-4),(10,-3),(10,-6)$

These are the vertices of Figure A'.

Thus, the correct transformation is: translated 1 unit to left and then rotated 180° counterclockwise about the origin.

The correct choice is C.