Exponential and Log Transformations

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Describe the transformations of f(x)= -log₂(x+1)

• left one & y-axis reflection
• right one & y-axis reflection
• left one & x-axis reflection
• right one & x-axis reflection

Describe the transformation of y=ln(x) that would give the graph for y = ln(x+7)

• vertical translation 7 up
• vertical translation 7 down
  vertical stretch by a factor of 7
• horizontal translation 7 left
• horizontal translation 7 right

Tags

CCSS.HSF.BF.B.3

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1
• Vertical Translation down 2 and Horizontal Translation left 1
• Horizontal Translation left 2 and Vertical Translation up 1
• Horizontal Translation right 2 and Vertical Translation down 1

Tags

CCSS.HSF.BF.B.3