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.

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

Step-by-step 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