Log Graphs- Transformations and Key Features

Select all of the transformations of f(x)=lnx that produce the function

g(x)= − lnx+3

• vertical stretch by e

• Reflection over the y-axis

• Translation 3 units left

• Reflection over the x-axis

• Translation 3 units up

Select all of the transformations of f(x)=log₅x that produce the function g(x)=8log₅(x-4)

• Vertical stretch by a factor of 8

• Vertical stretch by 5

• Translation 4 units left

• Translation 4 units right

• Translation 4 units down

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Describe range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Logarithms and Exponentials are what?

• parallel
• perpendiular 
• inverses
• congurent

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.BF.B.5