Question

Write a function to represent each series of transformations:

A) S(90, O)/ (x, y) = (-y, x), S(0, O)/ (x, y) = (-x, y)
B) S(0, O)/ (x, y) = (-x, y), S(a, b)/ (x, y) = (x + a, y + b)
C) S(a, b)/ (x, y) = (x + a, y + b), S(180, O)/ (x, y) = (-x, -y), S(0, O)/ (x, y) = (-x, y)
D) S(90, O)/ (x, y) = (-y, x), S(0, O)/ (x, y) = (x, -y), S(180, O)/ (x, y) = (-x, -y)

Answer 1

The given function represents different series of transformations involving rotations and reflections in the coordinate plane.

Step-by-step explanation:

These transformations involve rotations and reflections in the coordinate plane. Let's break down each series of transformations:

A) S(90, O)/ (x, y) = (-y, x), S(0, O)/ (x, y) = (-x, y)

B) S(0, O)/ (x, y) = (-x, y), S(a, b)/ (x, y) = (x + a, y + b)

C) S(a, b)/ (x, y) = (x + a, y + b), S(180, O)/ (x, y) = (-x, -y), S(0, O)/ (x, y) = (-x, y)

D) S(90, O)/ (x, y) = (-y, x), S(0, O)/ (x, y) = (x, -y), S(180, O)/ (x, y) = (-x, -y)