Part A

Write functions for each of the following transformations of the point (x, y) using function notation. Use T to represent translation, R to represent rotation, and F to represent reflection.

Question 1

Write a function to represent the point (x, y) being translated of 3 units to the right and 2 units down.

T(x, y) = ______


Question 2

Create a function to represent the point (x, y) being reflected across the y-axis

F(x, y) = (___, ___)

1st option:
A. -x
B. y

2nd option:
A. -x
B. y


Question 3

Write a function to represent the point (x, y) rotated 90 degrees counterclockwise about the origin.

R(x, y) =



Part B

How do the functions from part A differ from functions you have used in algebra in the past?


Part C

The point (x, y) is the first rotated 180 degrees clockwise about the origin, translated 6 units to the left, and then reflected across the line y = x.

Write a function S to represent the sequence of transformations applied to the point (x, y).

S(x, y) =