E Unit Activity Introduction to Care Parts
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Unit Activity: Introduction to Geometry and Transformations
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Part A
Write functions for each of the following transformations using function notation. Choose a different letter to represent each
function. For example, you can use to represent rotations. Assume that a positive rotation occurs in the counterclockwise
direction
translation of a units to the right and b units up
reflection across the y-axis
• reflection across the x-axis
• rotation of 90 degrees counterclockwise about the origin, point
• rotation of 180 degrees counterclockwise about the origin, point
• rotation of 270 degrees counterclockwise about the origin, point
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Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.