Algebraic Transformations

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?

A point is located at (7,-9) and is reflected across the y-axis.  Which algebraic representation shows this transformation?

The triangle was reflected across the y-axis.  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

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically

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

The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 3. Describe the transformation. (a)  

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units

• left

• right

• up

• down