If you complete a glide reflection to the point H(-2, -3) with the translation (x, y) → (x – 2, y) and a reflection over y = -4. Find the point H”. Hint: Graph the point, complete the translation & then flip over the horizontal line. * (-4, -7) (-2, -5) (0, -5) (-4, -5

Answer 1

To find the point after completing the glide reflection:

1. Translate point H(-2, -3) using the translation (x, y) → (x – 2, y):
H' = (-2 - 2, -3) = (-4, -3)

2. Reflect point H' over the line y = -4:
First, find the distance between H' and the line y = -4: -4 - (-3) = -1
Reflecting over the line y = -4 will move the point -1 unit further below the line:
H" = (-4, -4 - 1) = (-4, -5)

Therefore, after completing the glide reflection, the point H" is (-4, -5).