Algebraic Representations for Translations and Reflections

What is the algebraic notation of a figure is Translated 6 units right and 5 units up?

• (x, y) --> (x - 6, y + 5)

• (x, y) --> (x + 6, y + 5)

• (x, y) --> (x + 5, y - 6)

• (x, y) --> (6x, 5y)

What is the algebraic notation of a figure is Translated 2 units right and 5 units up?

• (x, y) --> (x - 2, y - 5)

• (x, y) --> (x + 2, y + 5)

• (x, y) --> (x + 5, y - 2)

• (x, y) --> (5x, 2y)

What is the algebraic representation when you reflect on the x axis?

• x,y -> x,-y

• x,y -> -x,y

Quadrilateral VWXY is translated 10 units to the right and 7 units down to create quadrilateral V'W'X'Y'. Write a rule that describes the translation that is applied to quadrilateral VWXY to create quadrilateral V'W'X'Y'.

d

e

x-10

10x

y+7

7y

y-7

x+10

Quadrilateral VWXY is translated 10 units to the right and 7 units down to create quadrilateral V'W'X'Y'. Write a rule that describes the translation that is applied to quadrilateral VWXY to create quadrilateral V'W'X'Y'.

d

e

7y

x+10

y-7

y+7

10x

x-10

A figure is translated 9 units left and 3 units down. What algebraic rule describes this transformation?

• (x, y) --> (x - 9, y + 3)

• (x, y) --> (x - 9, y - 3)

• (x, y) --> (x + 3, y - 9)

• (x, y) --> (9x, 3y)

What is the algebraic representation of translating a figure 3 units left and 5 units down?

• (x+5, y-3)

• (x-5, y+3)

• (x-3, y+5)

• (x-3, y-5)

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

• (x, y) --> (x, -y)

• (x, y) --> (-x, -y)

• (x, y) --> (-x, y)

• (x, y) --> (y, -x)

What is the Algebraic Representation for this transformation?

• (x, y) → (y, x)

• (x, y) → (-x, y)

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

Determine how to translate the algebraic representation: x,y --> ( x + 5, y - 8)

• Translated 5 units to the left and 8 units down

• Translated 8 units to the right and 5 units down

• Translated  5 units to the right and 8 units down

• Translated 8 units to the right and 5 units down