6.3 Transformations on Exponential Functions

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

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

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

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down

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)

What is the asymptote of this function:
 f(x) = 2^x-1 + 3

• x = 1
• x = -1
• y = 3
• y = - 3

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• None

• Vertical Reflection

What transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) -6

• It stayed the same

• Vertical reflection, up 3, left 6

• Vertical reflection, right 3, down 6

• Vertical reflection, left 3, down 6

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

What is the domain?

• All Real Numbers

• -10 < x < 4

• y > 0

• y = 0