Transformations of exponential functions

Is the function INCREASING or DECREASING?
  y = (2/3)^-x

• Increasing
• Decreasing

How would you change the function so that it is decreasing?
y = 3(2)^x

• Change the x to -x
• Change the 2 to -2
• Change the 3 to 7
• Change the x to t

Describe the transformation from the red line to the blue line

• Up 2
• Down 2
• Left 2
• Right 2

Tags

CCSS.HSF.BF.B.3

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

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)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

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

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

What kind of transformation is represented?

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

Tags

CCSS.HSF.BF.B.3

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