Key Features and Transforming Exponential Functions

What is the range of y=2^x?

• x>0

• x=all real numbers

• y>0

• y=all real numbers

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

• Reflection across the y-axis, shrink by a factor of 3, horizontal shift left 7 

• Reflection across the asymptote, horizontal shift right 3, vertical shift down 7 

• Reflection across the asymptote, stretch by a factor of 3, vertical shift down 7 

• Stretch by a factor of 3, vertical shift down 7 

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = 2^x - 3

• left 3

• down 3

• up 3

• right 3

Tags

CCSS.HSF.BF.B.3

Tags

CCSS.HSF-IF.C.7E

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1

• Vertical Translation down 2 and Horizontal Translation left 1

• Horizontal Translation left 2 and Vertical Translation up 1

• Horizontal Translation right 2 and Vertical Translation down 1

Describe the transformation(s) of the function when compared to its parent function.

• Translation up 2 units and translation right 1 unit

• Translation down 2 units and Translation left 1 unit

• Translation left 2 units and Translation up 1 unit

• Translation right 2 units and Translation down 1 unit

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Describe the transformation of

f(x)=-2(3)^x+4 - 8 ?

• right 4, down 8, stretch by a factor of 2, reflect over x-axis

• left 4, down 8, stretch by a factor of 2, reflect over x-axis

• left 4, up 8, compress by a factor of -2

• right 4, down 8, stretch by a factor of 2, reflect over x-axis

What is the end behavior of the function

•  x →∞, y→⁻∞ and x →⁻∞,y→⁻∞

• x →∞, y→∞ and x→⁻∞, y→∞

• x →∞, y→∞ and x→⁻∞, y→2

•  x →∞,y→2 and x→⁻∞, y→∞