In Exercises 1-6, write the function whose graph is the graph of y = |x), but is transformed accordingly. . Shifted up three units Shifted to the left four units Reflected about the y-axis 4. Reflected about the x-axis Vertically stretched by a factor of 3 Vertically compressed by a factor of 3 In Exercises 7-12, write the function whose graph is the graph of y x', but is transformed accordingly. . Shifted down four units Shifted to the right three units 11. Reflected about the y-axis 9. Shifted up three units and to the left one unit 10. Reflected about the x-axis 12. Reflected about both the x-axis and the у-ахis In Exercises 13-28, use the given graph to sketch the graph of the indicated functions. 13. 14 15. 16.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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![• SKILLS.
In Exercises 1-6, write the function whose graph is the graph of y = |x, but is transformed accordingly.
1. Shifted up three units
2. Shifted to the left four units
Reflected about the y-axis
4. Reflected about the x-axis
Vertically stretched by a factor of 3
Vertically compressed by a factor of 3
In Exercises 7-12, write the function whose graph is the graph of y = x, but is transformed accordingly.
1. Shifted down four units
8. Shifted to the right three units
11. Reflected about the y-axis
9. Shifted up three units and to the left one unit
10. Reflected about the x-axis
12. Reflected about both the x-axis and the
у-ахis
In Exercises 13-28, use the given graph to sketch the graph of the indicated functions.
13.
Ay
14.
15.
16.
Ay
a. y f(x- 2)
b. y f(x)- 2
a. y = f(x + 2)
b. y = f(x) + 2
a. y = f(x) – 3
a. y f(x) + 3
b. y f(x + 3)
%3D
b. y f(x - 3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F180e35fb-9b09-4fc5-8a6a-511bee286828%2Feeed03e7-3d0e-40ff-98c4-d88549921450%2Fnq82x5_processed.jpeg&w=3840&q=75)
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