Transformations Algebra

• Reflection across the x-axis

• Reflection across the y-axis

• Vertical shrink

• Vertical stretch

• Translation 3 units to the left

• 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

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

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

• Vertical translation

• Horizontal translation

• Vertical stretch

• Horizontal stretch

• Horizontal Translation Left

• Vertical Compression

• Refection across the x-axis

• Reflection across the y-axis

• Vertical Translation Up

• Horizontal Stretch

• 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

What does the equation \(g\left(x\right) = f\left(x\right)-4\) do to the graph of f(x)?

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units