Exponential Transformations

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

What is the equation of the horizontal asymptote?

• y=1
• y=0

What kind of transformation is represented?

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

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

• x = 1
• x = -1
• y = 3
• y = - 3

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4 + 5

• x=4

• y=4

• x=5

• y=5

What is the transformation?

• up 2 and right 1

• down 2 and left 1

• left 2 and Vertical up 1

• right 2 and down 1

What is the transformation?

• Left 5
• Right 5
• Up 5
• Down 5

What is the transformation?

• Left 5
• Right 5
• Up 5
• Down 5

What transformations occur to f(x)=5^x?

• translate right 3, up 2

• translate left 3, up 2

• translate left 3, down 2

• translate right 3, down 2

When do we have growth?
f(x) = (a)(b^x)

• a < 1
• b > 1
• 0 < b < 1
• a > 1