Transformations Algebraic Rules

( x , y ) → ( x , -y )

• Dilation

• Reflection

• Rotation

• Translation

( x , y ) → ( ⅓x , ⅓y )

• Dilation

• Reflection

• Rotation

• Translation

( x , y ) → ( x - 4 , y + 7 )

• Dilation

• Reflection

• Rotation

• Translation

( x , y ) → ( 1.7x , 1.7y )

• Dilation

• Reflection

• Rotation

• Translation

( x , y ) → ( x , y + 6 )

• Dilation

• Reflection

• Rotation

• Translation

• Right and Left change x

  Up and Down change y

• ...

Translations move shapes
( x , y ) → ( x + 6 , y )
would move the shape

• Right only

• Left only

• Up only

• Down only

Translations move shapes
( x , y ) → ( x , y + 3 )
would move the shape

• Right only

• Left only

• Up only

• Down only

Translations move shapes
( x , y ) → ( x - 6 , y )
would move the shape

• Right only

• Left only

• Up only

• Down only

Translations move shapes
( x , y ) → ( x - 3 , y + 2 )
would move the shape

• Right and Down

• Left and Down

• Right and Up

• Left and Up