Question

12:35 on Sunday.

Answer 1

Answer:

  (x, y) ⇒ (x, y+6)

Step-by-step explanation:

Reflection of a value a across a point p to make b requires that a, b, and p satisfy the relation ...

  p = (a+b)/2

  2p = a + b

  b = 2p - a

This is true for any sort of reflection. Here we have a reflection across the horizontal line y=-1, followed by a reflection across the horizontal line y=2. These reflections do not change the x-coordinate of a point, but they change the y-coordinate in accordance with the above relation.

Reflection across y = -1:

  (x, y) ⇒ (x, 2(-1)-y) = (x, -2-y)

Reflection of that across y = 2:

  (x, -2-y) ⇒ (x, 2(2) -(-2-y)) = (x, y+6)

The composition of the two reflections results in a translation upward of 6 units: (x, y) ⇒ (x, y+6)