Transforming Graph's

• 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
• Nod your head when thinking about this axis to help you as it goes up and down in the logical way

• 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

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

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

y=f(x)

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

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