Exponential Transformations

If g(x) is a transformation of f(x), describe the transformation.

 $f\left(x\right)=2^x$      $g\left(x\right)=2^x+4$   

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• None

• Reflection over the x-axis

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

The graph

 $g\left(x\right)=2^{\left(x-3\right)}$ is shown, which statement best describes the transformation from the parent graph  $f\left(x\right)=2^x$ .

• Vertically shift up 3

• Vertically shift down 3

• Horizontally shift right 3

• Horizontally shift left 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which of the following is NOT a transformation of the equation

 $f\left(x\right)=3\cdot2^{\left(x-3\right)}+3$  

• Shift horizontally left 3 units

• Shift vertically up 3 units

• Shift horizontally right 3 units

• Vertically stretched by a factor of 3

Tags

CCSS.HSF.BF.B.3

Which of the following describes the transformation of  $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$  from the parent graph  $g\left(x\right)=2^x$  

• Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

• Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

• Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

How has the function  $3^x-5$  been transformed from the parent function  $3^x$  ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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.BF.B.3