Graphs of Logarithmic functions

What is the correct transformed equation for the graph?

• y = log(x - 4)

• y = log(x) - 4

• y = log(x + 4)

• y = log(x) + 4

Tags

CCSS.HSF-IF.C.7E

What is the range of the function graphed?

• (-∞, ∞)

• (-∞, 2] and [2, ∞)

• [2, ∞)

• (-∞, 2]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Which of the following has a vertical asymptote at $x=4$  

•  $y=2^x-4$  

•  $y=\log_2\left(x-4\right)$  

•  $y=2^x+4$  

•  $y=\log_2\left(x+4\right)$  

Tags

CCSS.HSF-IF.C.7E

Match the graph with its equation.

(If you move your mouse over the graph, the image will pop up larger.)

• y = log₅ (x + 1) + 1

• y = log₅ (x - 1) + 1

• y = log₅ (x²) + 1

• y = log₅ (x) - 1

Tags

CCSS.HSF-IF.C.7E

What is the transformation of the logarithmic function
 $f\left(x\right)=\log\ \left(x+3\right)-1$  

• left 3, right 1

• right 3, down 1

• right 3, up 1

• left 3, down 1

Describe the tranformation

• translate 4 units up

• translate 4 units left

• translate 4 units right

• translate 4 units down

Tags

CCSS.HSF.BF.B.3

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSF-IF.C.7E

Using the parent function  $y=\log_3x$   what would the graph of  $y=\log_3\left(x+5\right)$   look like?

• Horizontal shift left 5 units

• Horizontal shift right 5 units

• Vertical shift up 5 units

• Vertical shift down 5 units

Tags

CCSS.HSF-IF.C.7E

Using the parent function 

 $y=\log_6x$ what would the graph of  $y=\log_6x+9$   look like?

• Horizontal Shift to the right 9 units

• Horizontal shift to the left 9 units

• Vertical shift 9 units up

• Vertical shift 9 units down

Tags

CCSS.HSF-IF.C.7E