Question

2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

(a) What output does the rule give when the input is ?

(b) What output does the rule give when the input is ?

(c) Is the rule a function? Explain why it is or why it is not.

Answer 1

Complete 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.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

`x = -6`

`y = 0`

The outputs is as follows;

`x => x - 3`

`x => -6 - 3`

`x => -9`

`y=> y + 4`

`y=> 0 + 4`

`y=> 4`

Hence:

The output is (-9,4)

Solving (b):

Inputs:

`x = 3`

`y = -4`

The outputs is as follows;

`x => x - 3`

`x=>3-3`

`x = 0`

`y=> y + 4`

`y=>-4+4`

`y=>0`

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units