The coordinate point Q(0,10) is reflected over the y-axis. Identify the x- and y-coordinates of its image, Q′

The coordinates of Q′ are (answer here) after a reflection over the y-axis.

1 answer

When a point \( Q(x, y) \) is reflected over the y-axis, its x-coordinate is inverted while its y-coordinate remains the same.

For the point \( Q(0, 10) \):

  • The x-coordinate is 0, which remains 0 after reflection.
  • The y-coordinate is 10, which also remains 10.

Therefore, the coordinates of the image \( Q' \) after a reflection over the y-axis are \( (0, 10) \).

So, the coordinates of \( Q' \) are \( (0, 10) \).