Transformation of an Exponential

Describe the transformations, asymptote, domain, and range for the following function: f(x)=-3(2)^{(x-4)}+6

• Transformation: Vertically stretched factor 3, translated right 4 and down 6. 
  Horizontal Asymptote at y = - 6 
  Domain: (-∞,∞)   Range: (-∞,6)

• Transformation: Reflection over x-axis, vertically stretched factor 3, translated right 4 and up 6. 
  Horizontal Asymptote at y = 6 
  Domain: (-∞,∞)   Range: (-∞,6)

• Transformation: Reflection over x-axis, vertically stretched factor 1/3, translated Left 4 and up 6. 
  Horizontal Asymptote at y = 6 
  Domain: (-∞,∞)   Range: (6,-∞)

• Transformation: Reflection over x-axis, vertically stretched factor 1/3, translated Left 4 and Down 6. 
  Horizontal Asymptote at y =6
  Domain: (-∞,∞)   Range: (6,-∞)

This is an example of....

• an increasing exponential function

• a decreasing exponential function

• an increasing linear function

• none of the above

Tags

CCSS.HSF-IF.C.7E

This is an example of.....

• exponential decay

• exponential growth

• constant change

• a linear function

Tags

CCSS.HSF-IF.C.7E

What type of transformation affects the domain of an exponential function?

• vertical translations

• horizontal translations

Tags

CCSS.HSF.BF.B.3

What type of transformation affects the range of an exponential function?

• vertical translations

• horizontal translations

Tags

CCSS.HSF.BF.B.3

What is the range of this function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the parent function that we use to compare exponential functions?

Tags

CCSS.HSF-IF.C.7E

Would this function represent exponential growth or decay?

• Exponential growth

• Exponential decay

• Both

• Neither

Tags

CCSS.HSF-IF.C.8B