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:
[tex]x = -6[/tex]
[tex]y = 0[/tex]
The outputs is as follows;
[tex]x => x - 3[/tex]
[tex]x => -6 - 3[/tex]
[tex]x => -9[/tex]
[tex]y=> y + 4[/tex]
[tex]y=> 0 + 4[/tex]
[tex]y=> 4[/tex]
Hence:
The output is (-9,4)
Solving (b):
Inputs:
[tex]x = 3[/tex]
[tex]y = -4[/tex]
The outputs is as follows;
[tex]x => x - 3[/tex]
[tex]x=>3-3[/tex]
[tex]x = 0[/tex]
[tex]y=> y + 4[/tex]
[tex]y=>-4+4[/tex]
[tex]y=>0[/tex]
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
