6.3 Task: Exponential and Logarithmic Transformations

Required

1

Identify the transformations made to the function: y=-\frac{1}{2}(2^{(x-3)})+4
Reflection over the__________
Vertical __________ 
Vertical__________
Horizontal __________

Required

1

Identify the transformations made to the function: y=6(2^{-(x-3)})+4
Reflection over the__________
Vertical __________ 
Vertical__________
Horizontal __________

Required

1

Identify the transformations made to the function: y=-4\log{(-x)}-3
Reflection over the__________
Vertical __________ 
Vertical __________
Horizontal __________

Required

1

Identify the transformations made to the function: y=\frac{1}{2}\log{(x+4)}+2
Reflection over the__________
Vertical __________ 
Vertical __________
Horizontal __________

Required

1

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:
Vertical compression by a factor of 2/3
Vertical shift up 5
Reflection over the y-axis
Horizontal shift right 4

Required

1

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:
Reflection over the x-axis
Vertical stretch by a factor of 3
Vertical shift up 9
Horizontal shift left 2

Required

1

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:
Reflection over the x-axis
Vertical shift down 1
Horizontal shift right 4

Required

1

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:
Vertical shift down 8
Reflection over the y-axis
Horizontal shift left 3

Required

1

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Required

1

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Required

1

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Required

1

Given the parent function f(x)=\log{(x)}, write the equation of the function graphed below:

Required

1

Given the parent function f(x)=log(x), write the equation of the function graphed below:

Required

1

6.3 Task: Exponential and Logarithmic Transformations

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:Vertical compression by a factor of 2/3Vertical shift up 5Reflection over the y-axisHorizontal shift right 4

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:Reflection over the x-axisVertical stretch by a factor of 3Vertical shift up 9Horizontal shift left 2

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:Reflection over the x-axisVertical shift down 1Horizontal shift right 4

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:Vertical shift down 8Reflection over the y-axisHorizontal shift left 3

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=\log{(x)}, write the equation of the function graphed below:

Given the parent function f(x)=log(x), write the equation of the function graphed below:

Given the parent function f(x)=log(x), write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:Vertical compression by a factor of 2/3Vertical shift up 5Reflection over the y-axisHorizontal shift right 4

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:Reflection over the x-axisVertical stretch by a factor of 3Vertical shift up 9Horizontal shift left 2

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:Reflection over the x-axisVertical shift down 1Horizontal shift right 4

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:Vertical shift down 8Reflection over the y-axisHorizontal shift left 3

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function graphed below:

Given the parent function f(x)=\log{(x)}, write the equation of the function graphed below:

Given the parent function f(x)=log(x), write the equation of the function graphed below:

Given the parent function f(x)=log(x), write the equation of the function graphed below:

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:
Vertical compression by a factor of 2/3
Vertical shift up 5
Reflection over the y-axis
Horizontal shift right 4

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:
Reflection over the x-axis
Vertical stretch by a factor of 3
Vertical shift up 9
Horizontal shift left 2

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:
Reflection over the x-axis
Vertical shift down 1
Horizontal shift right 4

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:
Vertical shift down 8
Reflection over the y-axis
Horizontal shift left 3

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:
Vertical compression by a factor of 2/3
Vertical shift up 5
Reflection over the y-axis
Horizontal shift right 4

Given the parent function f(x)=2^{x}, write the equation of the function with the following transformations:
Reflection over the x-axis
Vertical stretch by a factor of 3
Vertical shift up 9
Horizontal shift left 2

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:
Reflection over the x-axis
Vertical shift down 1
Horizontal shift right 4

Given the parent function f(x)=\log{(x)}, write the equation of the function with the following transformations:
Vertical shift down 8
Reflection over the y-axis
Horizontal shift left 3