Question

Alicia is writing the program for a video game. For one part of the game she uses the rule ( x , y) ----> ( x - 3, y + 4) to move points on the screen.

(1) What output does the rule give when the input is (-7, 0)? Show your work.

(2) What output does the rule give when the input is (2, -4)? Show your work.

Answer 1

The "rule" being described here is nothing more than the input/output of a mathematical function.

For every input 'x' value supplied, you only need to subtract three to it. For every input 'y' value, you only need to add four to it.

Example: I'll use variable 'm' to represent this function. Variable 'p' will represent the current input point.

m(p) = p[x - 3, y + 4] = p[-7 - 3, 0 + 4] = p[-10, 4]. 'p[]" is just the point.