Question

Marcus is writing the program for a video game. For one part of the game, he uses the rule(x, y) → (x + 8, y – 3) to move points on the screen.

Answer 1

(a) Applying the given rule to point (-2,1) we get:

`(-2,1)\rightarrow(-2+8,1-3)=(6,-2)\text{.}`

Therefore, the output of (-2,1) under the given rule is (6,-2).

(b) Applying the given rule to point (0,-5) we get:

`(0,-5)\rightarrow(0+8,-5-3)=(8,-8).`

Therefore, the output of (-2,1) under the given rule is (8,-8).

(c) The given rule is a translation, therefore it is a function.