6.3 Task: Exponential and Logarithmic Transformations

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14 questions

Part 1: Equation to Verbal

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Part 2: Verbal to Equation

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Part 3: Graph to Equation

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

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

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

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

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

y=\frac{2}{3}(2^{-(x-5)}+4)

y=\frac{2}{3}(2^{-(x+5)}+4)

y=\frac{2}{3}(2^{-(x-4)}+5)

y=\frac{3}{2}(2^{-(x-4)}-5)

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

y=3(2^{-(x+2)}+9)

y=3(2^{-(x-2)}+9)

y=-3(2^{(x-2)}+9)

y=-3(2^{(x+2)}+9)

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 graphed below:

y=2^x-3

y=2^x+3

y=2^{x}-3

y=2^{x}+3

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

y=-\log(x)

y=\log(-x)

y=\log(x)-1

y=\log(x-1)

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

y=\log(x+1)

y=\log(x-1)

y=\log(x)+1

y=\log(x)-1

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

y=\log(x)+2

y=\log(x)-2

y=\log(x-2)

y=\log(x+2)

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

y=\frac{2}{3}(2^{-(x-5)}+4)

y=\frac{2}{3}(2^{-(x+5)}+4)

y=\frac{2}{3}(2^{-(x-4)}+5)

y=\frac{3}{2}(2^{-(x-4)}-5)

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

y=3(2^{-(x+2)}+9)

y=3(2^{-(x-2)}+9)

y=-3(2^{(x-2)}+9)

y=-3(2^{(x+2)}+9)

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 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:

y=2^x-3

y=2^x+3

y=2^{x}-3

y=2^{x}+3

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

y=-\log(x)

y=\log(-x)

y=\log(x)-1

y=\log(x-1)

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

y=\log(x+1)

y=\log(x-1)

y=\log(x)+1

y=\log(x)-1

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

y=\log(x)+2

y=\log(x)-2

y=\log(x-2)

y=\log(x+2)

6.3 Task: Exponential and Logarithmic Transformations

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 2/3
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