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If you memorize the Graph Shift Rules, your life is going to be so much easier.
Simple Linear Equations (start with $y=x$)
What happens if we...
Add or subtract a number?
The graph shifts UP and DOWN
Multiply or divide a number?
The graph becomes STEEPER or FLATTER
Can You Combine These Rules?
Of course! Watch what happens when $y=x$ becomes $y=2x-3$.