Algebra Function Transformation

Describe the transformation that occurred

g(x) =2f(x)

• Up 2 units

• vertical compression

• vertical stretch

• Right 2 Units

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• vertical compression

• vertical stretch

• Down 5 Units

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

• Vertical Compression by a factor of 1/2

• Vertical Stretch by a factor of 1/2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

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

• Vertical translation

• Vertical stretch

• Horizontal stretch

• Horizontal translation

• F
• G
• H
• J

• a

• b

• c

• d

• F

• G

• H

• J

• F
• G
• H
• J

g(x) can be thought of as a translated (shifted) version of f(x). g(x) = f(x (a)   ) ​ (b)  

• -

• +2

• -6

• +6

• -2