Identifying Transformations for Exponential Functions

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

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

Tags

CCSS.HSF.BF.B.3

Use the graph of y = 2^x+1 - 3.

What is the transformations from the parent function y = 2^x

• Translated right 1 and down 3

• Translated left 1 and down 3

• Translated up 1 and left 3

• Stretched by 2 and translated down 3

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-IF.C.7E

Which equation matches the graph? Hint: Ask yourself if the asymptote line has shifted.

• y = 2^x - 3

• y = 2^x + 3

• y = 2^x

• y = -2^x

Tags

CCSS.HSF-IF.C.7E

Describe the transformation on

• The graph has been shifted 3 units up

• The graph has been shifted 3 units to the right

• The graph has been shifted 2 units right

• The graph has been shifted 3 units left

Tags

CCSS.HSF.BF.B.3

If y = -2^{x - 3}, what is the transformation form its parent function?

• Translated left 3

• Translated Right 3

• Reflected about the x-axis and translated left 3

• Reflected about the x-axis and translated right 3

Given g(x)=5^x
Write a function that is reflected over the line x=0 and translated 4 units to the right. 

• f(x)= -5^x-4

• f(x)= -5^x+4

• f(x)= 5^(x-4)

• f(x)= 5^-(x-4)

Tags

CCSS.HSF.BF.B.3

What is the parent function

• y = 2^x

• y = 2x

• y = 2^x+1

• y = 2^x - 3

Tags

CCSS.HSF.BF.B.3

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