SOLUTION: Consider the linear function f(x)=A(x-B)+C. Discuss all the changes in the graph as A,B,and C change from positive,negative,zero, as well as, grow smaller or larger. Discuss the do

Question 614444: Consider the linear function f(x)=A(x-B)+C. Discuss all the changes in the graph as A,B,and C change from positive,negative,zero, as well as, grow smaller or larger. Discuss the domain and range of linear functions.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The best way to see what's going on is to say

Now change A, B, and C to +3, 0, -3 while others stay +1
I will show plots:
This is The equation to start with:

This is A being changed:

This is B being changed:

This is C being changed:

As you can see,
Changing A affects the slope and shifts right for positive A, left for negative A
Changing B shifts the line right for positive B, left for negative B
Changing C shifts the line left for positive C, right for negative C
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