MATH SOLVE

4 months ago

Q:
# A point undergoes two transformations. The x-coordinate's sign changes and the y-coordinate increases. What were the transformations? The point was reflected over the y-axis and translated down. The point was reflected over the x-axis and translated to the right. The point was reflected over the y-axis and translated up. The point was reflected over the x-axis and translated to the left.

Accepted Solution

A:

For this case we are going to define the original coordinates:

(x, y): original coordinates.

We apply the transformation:

(x, y) -------> (-x, y + k)

We have:

-x: reflection on the y axis.

y + k: translation k units up.

Answer:

The point was reflected over the y-axis and translated up.

(x, y): original coordinates.

We apply the transformation:

(x, y) -------> (-x, y + k)

We have:

-x: reflection on the y axis.

y + k: translation k units up.

Answer:

The point was reflected over the y-axis and translated up.