Question

What is the image of (−1,−6) after a reflection over the y-axis?

A) (1, -6)
B) (-1, 6)
C) (1, 6)
D) (-1, -6)

Answer 1

The image of point (-1, -6) after a reflection over the y-axis is (1, -6), option A.

Step-by-step explanation:

The reflection over the y-axis changes the sign of the x-coordinate but not the y-coordinate of a point. If we have a point (-1, -6) and we reflect it over the y-axis, the x-coordinate of -1 becomes 1, while the y-coordinate of -6 remains unchanged. Therefore, the image of the point (-1, -6) after a reflection over the y-axis is (1, -6), which corresponds to option A) (1, -6).