Rules of Transformations

Which rule would show a translation of 5 units up and 4 units left?

• (x-5, y+4)

• (x-4, y+5)

• (x-5, y-4)

• (x+4, y-5)

Point (-5, 2) is reflected over the y-axis.  Where is the new point located?

• (5, 2)
• (-5, -2)
• (-5, 2)
• (5, -2)

What transformation is happening?

(x, y) → (x + 2, y - 3)

• translate up 2, left 3

• translate right 2, up 3

• translate right 2, down 3

• translate left 3, right 2

What is the algebraic representation for a reflection over the x-axis ?

• ( x , - y ) → ( x , - y )

• (- x , y ) → ( x , y )

• ( x , y ) → ( - x , y )

• ( x , y ) → ( x , - y )

What is the algebraic representation for a reflection across the y-axis ?

• ( x , y )→ ( x , - y )

• ( x , - y ) → ( - x , y )

• ( x , y ) → ( - x , y )

• ( - x , y ) → ( x ,- y )

What is the algebraic representation for a translation ?

• ( x , y ) → (- x , y)

• ( x , y ) → (x + a, y +b)

• ( x , y ) → (- x , y)

• ( x , y ) → (a - x , b - y)

The rule for rotation of 180° degrees is

(x, y) → ___

• (-y , x)

• (-x , -y)

• (y , -x)

• (-y , -x)

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation
• 90^o counter clockwise rotation
• Reflection across the y-axis
• Reflection across the x-axis

Rotating the point (4 , 1) 270° counter clockwise about the origin would result in what new coordinate?

• (-4, -1)

• (4 , -1)

• (1 , -4)

• (1 , 4)

Apply the following rule

to the point (-5, 6):

(x, y) → (y, -x)

• (-5, -6)

• (5, -6)

• (6, 5)

• (-6, 5)