Algebraic Transformations

The triangle was reflected across the y-axis.  Which algebraic representation best describes this transformation?

Which algebraic rule will produce a translation that is 5 units to the right?

• (x, y)  --> ( x ,  y + 5)

• (x, y)  --> (  x-5 ,  y + 5)

• (x, y)  --> (  x-2 ,  y + 5)

• (x, y)  --> (  x+5 ,  y)

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

• (x, y) --> (x + 2, y - 5)

• (x, y) --> (x + 2, y - 9)

• (x, y) --> (x - 2, y - 9)

• (x, y) --> (x - 2, y + 9)

A figure is translated 5 units down and 3 units to the right. Which algebraic representation best describes this transformation?

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

• F
• G
• H
• J

• F
• G
• H
• J

• F
• G
• H
• J

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation. (a)  

• g(x) is shifted up 6 units

• g(x) is shifted down 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

• down

• up

• right

• left