Question

R

The following transformations are to be performed, in order, on the parallelogram.
• Translate 2 units in a positive y-direction.
. Translate 6 units in a positive x-direction.
• Reflect about the x-axis.
Which of the following describes the location of vertex Q after the transformations?
OA (2,-4)
B. (-2,-8)
C. (2,-8)
OD. (-2,4)

Answer 1

C. (2,-8), The combination of a positive y-direction translation, positive x-direction translation, and x-axis reflection places vertex Q at (2,-8).

Step-by-step explanation:

After performing the given transformations on the parallelogram, the vertex Q ends up at the coordinates (2,-8). First, a translation of 2 units in the positive y-direction moves Q to (2,0).

Then, a translation of 6 units in the positive x-direction places Q at (8,0). Finally, reflecting about the x-axis negates the y-coordinate, resulting in the final position of Q at (8,0) after reflection, which simplifies to (2,-8).

The initial translation in the positive y-direction shifts the point vertically, bringing Q to (2,0). Subsequently, the translation in the positive x-direction moves the point horizontally, placing it at (8,0).

The reflection about the x-axis negates the y-coordinate, resulting in the final position of Q as (2,-8). Each transformation contributes to the overall change in position, and the order of transformations is crucial in determining the final coordinates.

Therefore the correct option is C. (2,-8).

Answer 2

The answer is B (2,-8)