Transformational Algebra

• Moves the graph up 2 units

• Vertical stretch of scale factor 2

• Reflects the graph across the x-axis

• Moves the graph 2 units to the left

• Shifts the graph left three units

• Shifts the graph right three units

• Shifts the graph up three units

• Shifts the graph down three units

• A vertical shrink by a factor of 1/3

• A vertical stretch by a factor of 3

• A horizontal stretch by a factor of 3

• A horizontal shrink by a factor of 1/3

• A vertical shrink by a factor of 1/5

• A vertical stretch of scale factor 5

• A horizontal stretch by a factor of 5

• A horizontal shrink by a factor of 1/5

Function g(x) can be thought of as a translated (shifted) version of f(x).  

g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2

• F
• G
• H
• J

Let f be the parent absolute value function f(x) = |x|. Match each function below with its transformation of f.

• Vertical stretch

• Vertical translation

• Horizontal stretch

• Horizontal translation

Match the following

• The line shifted 6 units down.

• f(x)-6

• The line shifted 6 units to the right.

• f(x+3)

• The line shifted 6 units to the left.

• f(x-6)

• The line shifted 3 units up.

• f(x)+3

• The line shifted 3 units to the left.

• f(x+6)

Tags

CCSS.HSF.BF.B.3

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units

• Shift down 4 units

• Shift left 4 units

• Shift right 4 units

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