<u><em>Reflection of point U across y-axis = (1, -5)</em></u>
why . . .
reflection across y-axis means to take the negative of the x-value, and since point U has coordinates (-1, -5), the negative of -1 is 1, then the reflected coordinate must be (1, -5)
We have been coordinates of some points on coordinate plane. We are asked to find the reflection image of U across the y-axis.
We know that after reflecting a point across y-axis, the y-coordinate of point remains same, while x-coordinate changes to its opposite sign.
We can see that coordinates of point U are . After the reflection across y-axis the y-coordinate will remain same that is , while x-coordinate will be opposite of that is
Therefore, the coordinates of point U after reflection across y-axis would be and option B is the correct choice.