Transformations with Exponential Functions

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3

• y=2^x+3

• y=2^x+3

• y=2^x-3

Tags

CCSS.HSF.BF.B.3

Given g(x)=(1/2)^x Write a function that is reflected over the line y=0 and translated 4 units up.

• f(x)= (1/2)^x+4

• f(x)= -(1/2)^x+4

• f(x)= (1/2)^x-4

• f(x)= -(1/2)^x+4

Tags

CCSS.HSF.BF.B.3

What kind of transformation is represented?

• up 1 unit

• left 1 unit

• right 1 unit 

• down 1 unit

Tags

CCSS.HSF.BF.B.3

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Given the original exponential function defined by y=4^x, how would the graph change if the function were: y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• None

• Reflection across the line y=0

Tags

CCSS.HSF.BF.B.3

Determine the range for the function

f(x) = 3(2)^x-4 + 5

• [5,∞)

• (5,∞)

• [4,∞)

• (4,∞)

• Logarithmic

• Linear

• Quadratic

• Exponential

What is the transformation?

• Vertical Translation up 2

• Vertical Translation down 2

• Horizontal Translation left 2

• Horizontal Translation right 2

Tags

CCSS.HSF.BF.B.3

What kind of shift happens with this function?

• 4 points up

• 4 points to the left

• 4 points to the right

• 4 points down

Tags

CCSS.HSF.BF.B.3