Transformations on Exponential Functions

Given g(x)=5^x Write a function that is a vertical reflection of g(x) 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 transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• None

• Vertical Reflection

Tags

CCSS.HSF.BF.B.3

Given g(x)=(1/2)^x Write a function that is translated 5 units left and translated 4 units up.

• f(x)= (1/2)^x+5 + 4

• f(x)= (1/2)^x+4 + 5

• f(x)= (1/2)^x-5 - 4

• f(x)= (1/2)^x+5 - 4

Tags

CCSS.HSF.BF.B.3

Given g(x)=(1/2)^x Write a function that is a vertical reflection 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

Determine the range for the function

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

• All Real Numbers

• y > 5

• y = 5

• y < 5

What transformations occur in the following function?

• right 3, up 2

• right 3, down 2

Tags

CCSS.HSF.BF.B.3

What kind of shift happens with this function?

• shift 4 units up

• shift 4 units down

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Vertical Translation up 2 and Horizontal translation left 1

• Vertical Translation down 2 and Horizontal Translation left 1

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

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up

• 4 units down

Tags

CCSS.HSF.BF.B.3