Log Graphs

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

• f(x)=log(x+2)+2

• f(x)=log(x+2)-4

• f(x)=log(x+8)-4

• f(x)=log(x+8)+2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Write the equation of the function f(x)=3logx+4 after the following transformations:

Vertical stretch by a factor of 2, translate 5 units to the right.

• g(x)=5log(x+5)+4

• g(x)=5log(x-5)+4

• g(x)=6log(x-1)

• g(x)=6log(x-5)+4

Tags

CCSS.HSF.BF.B.3

Write the equation of the function f(x)=log(x+5)-6 after the following transformations:

Translate 3 units left and 2 units up.

• g(x)=log(x+2)+2

• g(x)=log(x+2)-4

• g(x)=log(x+8)-4

• g(x)=log(x+8)+2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.8

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

Tags

CCSS.HSF.BF.B.3

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

Tags

CCSS.HSF-IF.C.7E

find the asymptote: y = log₁₀ (x+3)

• x=-3
• x=3
• y=-3
• y=3

Tags

CCSS.HSF-IF.C.7E

Find the asymptote of the following: y = log₁₀ x - 6

• x=6
• x=-6
• x= 0
• y=0

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7