3.2 Logarithm Transformation

What is the equation that best represents the graph?

• y=2^y
• y=2^x
• y=2^-x
• y=x²

Tags

CCSS.HSF-IF.C.7A

What is the domain and range of the function y=2^x ?
Use the graph to help!

•  Domain: All Real Numbers
  Range: y>0
• Domain: All Real Numbers
  Range: y>1
• Domain: −2<x<∞
  Range: y>0
• Domain: −∞<x<∞
  Range: y>0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit
• Horizontal shift right one unit
• Vertical shift up one unit
• Vertical shift down one unit

Tags

CCSS.HSF-IF.C.7E

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal Shift to the right 1 unit
• Horizontal shift to the left one unit
• Vertical shift one unit up
• Vertical shift one unit down

Tags

CCSS.HSF-IF.C.7E

Using y=3^x as the parent function, what will y=3^{-x look like?}

• Reflection on the x axis
• Reflection on the line y=x
• Reflection on the y axis
• Reflection on y=0

Tags

CCSS.HSF.BF.B.3

What transformations have taken place?

y = 2^x+2 + 1

• right 2, up 2

• left 2, up 1

• right 2, up 1

• left 1, up 2

What are the transformations of this graph?

• Right 1 Up 5
• Right 1 Down 5
• Left 1 Up 5
• Left 1 Down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Tags

CCSS.HSF-IF.C.7E

What equation matches the graph?

• f(x) = 3^x
• f(x) = (⅓)^x
• f(x) = log₃(x)

Tags

CCSS.HSF-IF.C.7E

In the general log function 
y = a*log_b(x-h)+k, what letter tells us if the function has moved left or right?

• a
• b
• h
• k