# Transforming Graph's

These cards will breiefly explain the different ways that graphs can be transformed

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• Created by: RevisingA
• Created on: 06-06-12 14:26

## Y - axis

• The y -axis does what you think it should do
• If it's +1 it goes up by one
• If it's -1 it goes down by one
• Think of the y -axis as the YES axis - It does the logical thing
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## x - axis

• The x -axis doesn't do what you think it should
• If it's +1 it goes TO THE LEFT
• If it's -1 it goes TO THE RIGHT
• Think of the X -axis as the NO axis as it doesn't do the logical thing
• Shake your head as it goes left to right but dosen't do the logical thing
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## Inside and outside of brackets

• If something is added inside the bracket the x -axis is affected
• If something is added outside the bracket the y -axis is affected
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## Translation

y=f(x)

• y = f(x) -2
• This means all the y cooridnates are reduced by two
• y = f(x +2)
• This means all the x coordinates are recued by two

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## Stretch

y=f(x)

• y=2f(x)
• All y coordinates are multiplied by two
• y=f(2x)
• All x coordinates are divided by two
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## Reflection

Y=f(x)

• y=-f(x)
• This means that the y coordinates flipped across the y axis
• If the orginal coordinate was (0,1) it becomes (0,-1)
• y=f(-x)
• This means that the x coordinates filliped across the x axis
• This image will show how it should look
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