Question

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.

Answer 1

Answer: The correct option is

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

Step-by-step explanation: Given that a point undergoes two transformations as follows :

"The x-coordinate's sign changes and the y-coordinate increases."

We are to select the correct transformations.

We know that

when x co-ordinate's sign changes, the point (x, y) becomes (-x, y). This is reflection across y-axis.

And, if y co-ordinate increases by k units, then (x, y) becomes (x, y+k). That is, the point (x, y) is translated k units upwards.

Thus, the required transformations are

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

Option (C) is CORRECT.

Answer 2

The 3rd choice corresponds to the description.

_____
Translation over the y-axis changes the sign of the x-coordinate. Translation upward increases the value of the y-coordinate.