What transformations do I need to know?

How do horizontal and vertical transformations affect each other?

• Horizontal and vertical transformations?are?independent?of each other
  • The horizontal transformations involved will need to be applied in their correct order
  • The vertical transformations involved will need to be applied in their correct order
• Suppose there are?two horizontal?transformation?H_1?then?H₂?and?two vertical?transformations?V_1?then V_2?then_?they can be applied in the following orders:
  • ?Horizontal then vertical:
    • H_1?H_2?V_1?V₂
  • Vertical then horizontal:
    • V_1?V_2?H_1?H₂
  • Mixed up (provided that?H₁?comes before H₂?and?V₁?comes before V2):
    • H_1?V_1?H_2?V₂
    • H_1?V_1?V_2?H₂
    • V_1?H_1?V_2?H₂
    • V_1?H_1?H_2?V₂

How do I deal with multiple vertical transformations?

• Order matters?when you have?more than one vertical transformations
• If you are asked to find the equation then?build up the equation?by looking at the transformations in order

How do I deal with multiple horizontal transformations?

• Order matters?when you have?more than one horizontal transformations
• If you are asked to find the equation then?build up the equation?by looking at the transformations in order
• • • If?a?is negative then the?reflection and stretch?can be?done in any order