Transformations of Exponentials and Logs

What kind of shift happens with this function?

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

What kind of shift  is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

What transformations occur?

• translate right 3, up 2

• translate left 3, up 2

• translate left 3, down 2

• translate right 3, down 2

What transformation best describes the function?

• vertical stretch

• vertical compress

• reflection over x-axis

• reflection over y-axis

What is the transformation?

• up 2 and right 1

• down 2 and left 1

• left 2 and up 1

• right 2 and down 1

Given g(x)=5^x

Write a function that is reflected over the x-axis 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 transformations have happened to f(x) = 2^x if the new equation is

g(x) = -2^(x+3) -6? Choose 3.

• reflect x-axis

• reflect y-axis

• left 3

• right 3

• down 6

List the transformations that match f(x)=-3(4)^x-2. Choose three.

• vertical stretch

• shifts up

• shifts right

• reflects

• vertical compress

Describe the transformation from the red line to the blue line

• Up 2
• Down 2
• Left 2
• Right 2

What equation would allow for the transformation from the red line to the blue line?

• y=2^(x-1)
• y=2^x+1
• y=2^x-1
• y=2^(x+1)