6.3 Task: Exponential and Logarithmic Transformations
By Miss Douglas
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Last updated 7 months ago
14 Questions
Part 1: Equation to Verbal
Required
1 point1
Question 1
1.
Identify the transformations made to the function: y=-\frac{1}{2}(2^{(x-3)})+4
Reflection over the__________
Vertical __________
Vertical__________
Horizontal __________
Required
1 point1
Question 2
2.
Identify the transformations made to the function: y=6(2^{-(x-3)})+4
Reflection over the__________
Vertical __________
Vertical__________
Horizontal __________
Required
1 point1
Question 3
3.
Identify the transformations made to the function: y=-4\log{(-x)}-3
Reflection over the__________
Vertical __________
Vertical __________
Horizontal __________
Required
1 point1
Question 4
4.
Identify the transformations made to the function: y=\frac{1}{2}\log{(x+4)}+2
Reflection over the__________
Vertical __________
Vertical __________
Horizontal __________
Part 2: Verbal to Equation
Required
1 point1
Question 5
5.
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:
- Vertical compression by a factor of 2/3
- Vertical shift up 5
- Reflection over the y-axis
- Horizontal shift right 4
Required
1 point1
Question 6
6.
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)=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 point1
Question 7
7.
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:
- Reflection over the x-axis
- Vertical shift down 1
- Horizontal shift right 4
Required
1 point1
Question 8
8.
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)=\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
Part 3: Graph to Equation
Required
1 point1
Question 9
9.
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:
Required
1 point1
Question 10
10.
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:
Required
1 point1
Question 11
11.
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:
Required
1 point1
Question 12
12.
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:
Required
1 point1
Question 13
13.
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:
Required
1 point1
Question 14
14.
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: