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 & horizontal reflection

• right one & horizontal reflection

• left one & vertical reflection

• right one & vertical reflection

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

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

Write the equation of a natural logarithmic function that has been shifted two units to the left, one unit up, and vertically stretched by a factor of three.

(Begin your answer with "y=." Use parentheses where necessary.)

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7E

Tags

CCSS.HSF-IF.C.7E

Describe the transformation(s) of the function when compared to its parent function.

• Translation up 2 units and translation right 1 unit

• Translation down 2 units and Translation left 1 unit

• Translation left 2 units and Translation up 1 unit

• Translation right 2 units and Translation down 1 unit

• 
• 
• 

f(x)=2ln(x+2)

Describe the transformation

• Vertical Stretch by 2, translation 2 units to the left

• Vertical Compression by 2, translation 2 units to the left

• Vertical Stretch by 2, translation 2 units to the right

• Vertical Compression by 2, translation 2 units to the right

Write the equation of a natural logarithmic function that has been shifted two units to the left, one unit up, and vertically stretched by a factor of three. (Begin your answer with "y=." Use parentheses where necessary.)

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7E