Linear and 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 transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Describe the transformation(s) of the function when compared to its parent function.

• Translation left 3 units

• Translation down 3 units

• Horizontal stretch by a factor of -1

• Reflected across x-axis

Describe the transformation(s) of the function when compared to its parent function.

• Translation up 2 units and translation right 1 unit

• Translation down 2 units and Translation left 1 unit

• Translation left 2 units and Translation up 1 unit

• Translation right 2 units and Translation down 1 unit

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

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

• reflects across the x-axis, translate right 3 units, translate up 6 units

• reflects across the x-axis, translate up 3 units, translate left 6 units

• reflects across the x-axis, translate right 3 units, translate down 6 units

• reflects across the x-axis, translate left 3 units, translate down 6 units

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 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

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 kind of transformation is represented?

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

What transformations occur in the following function?

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