Algebraic Representations for Translations and Reflections

If given the rule (x, y) --->(x, y - 3), how should you move your points?

• To the right one and down three units
• To the left one and down three units
• Up three units
• Down three units

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 of translating a figure 4 units down?

• (x-4, y-4)
• (x, y-4)
• (x-4, y)
• (x+4, y+4)

When translating a figure on a coordinate plane, which coordinate is affected by movement up and down?

• The x-coordinate
• The y-coordinate
• Neither

When translating a figure on a coordinate plane, which coordinate is affected by movement left and right?

• The x-coordinate
• The y-coordinate
• Neither

Describe the translation of Point A (3, -8) to A'(-4, -5).

• (x-4, y-5)
• (x+7, y-3)
• (x-7, y+3)
• (x-3, y+7)

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 reflecting a figure over the y-axis?

• (x, y) --> (x, -y)
• (x, y) --> (-x, y)
• (x, y) --> (-x, -y)
• (x, y) --> (y,x)

Which point shows a reflection of point      X(9, -2) over the x-axis?

• (-2, 9)
• (9, -2)
• (9, 2)
• (-9, -2)

Which point shows a reflection of point      Y(-5, -7) over the y-axis?

• (5, -7)
• (-5, -7)
• (5, 7)
• (5, 7)