Log Function Graph Behavior

Which of the following transformations would take f(x)= lnx to g(x)= −ln(x+5)

• reflection over the x-axis

• reflection over the y-axis

• translate right 5

• translate up 5

• translate left 5

Tags

CCSS.HSF.BF.B.3

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

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

• vertical translation 7 up

• vertical stretch by a factor of 7

• vertical compression by a factor of 7

• horizontal translation 7 left

Tags

CCSS.HSF.BF.B.3

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

• reflection over the line y=x

• reflection over the x-axis

• reflection over the y-axis

• reflection over the line y=-1

Tags

CCSS.HSF.BF.B.3

What is the asymptote for the given function: y = log₁₀ (x+3)

• x=-3

• x=3

• y=-3

• y=3

Answer explanation

Log function asymptote is always x=h!!

Tags

CCSS.HSF-IF.C.7E

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

• Left one & reflection over y-axis

• Right one & reflection over y-axis

• Left one & reflection over x-axis

• Right one & reflection over x-axis

Which graph is logarithmic

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Given g(x) is a transformation of the graph , determine which of the below correctly describe g(x)?

Answer explanation

The parent function f(x) was shifted left 4 & down 2!! You can also graph each answer choice to match g(x)!!

Tags

CCSS.HSF-IF.C.7E