Question

A line segment endpoints at P(1,8) Q (5,-2) is reflected across the y-axis and translated up 6. What are the coordinates of the image of point Q?

A. Q'(5,-8)
B. Q'(-5,2)
C. Q'(5,4)

Answer 1

The image of point Q after reflecting across the y-axis and translating up 6 units is Q' (-5, 4).

Step-by-step explanation:

To find the image of point Q after reflecting across the y-axis and translating up by 6 units, we first reflect point Q across the y-axis. The x-coordinate of the image will be the opposite of the original x-coordinate, so the image of Q will be (-5, -2).

Next, we translate the image up by 6 units. The y-coordinate of the image will be the original y-coordinate plus 6, so the final coordinates of the image of point Q are (-5, 4).