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| 1) What is a transformation of a function?
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| 2) What is a translation of the graph of a function?
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| 3) What is a pre-image of the graph of a function?
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| 4) What is an image of the graph of a function?
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Refer to the diagram below to solve the next two problems.
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| 5) Choose a point on the pre-image and state the corresponding coordinates on the image.
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| 6) Describe the translation from the pre-image to the image.
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Vertical and Horizontal Translations
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| 7) Vertical translations are moves made that are parallel to what axis?
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| 8) Horizontal translations are moves made that are parallel to what axis?
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| 9) How are horizontal translations useful?
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| 10) A function f (x) and a parent function g(x) are shown below. Describe the translation of the function f (x) from the parent function g(x).
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| 11) A function g(x) and a parent function h(x) are shown below. Describe the translation of the function g(x) from the parent function h(x).
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| 12) A function h(x) and a parent function f (x) are shown below. Describe the translation of the function h(x) from the parent function f (x).
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| 13) A function g(x) and a parent function h(x) are shown below. Describe the translation of the function g(x) from the parent function h(x).
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Vertical and Horizontal Stretches and Compressions
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| 14) Look at the graph below. Tell how the parent function f(x) = |x| has been transformed.
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For the following problems, choose from the following graphs for your answer. A parent function f (x) = x2 has been transformed to the following functions. Choose the appropriate graph for each.
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| 15) Read the problem above and choose the appropriate graph for the transformed function y = – f (x)2.
Click here to view the graph. |
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16) Read the problem above and choose the appropriate graph for the transformed function y = f (2x)2.
Click here to view the graph. |
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17) Read the problem above and choose the appropriate graph for the transformed function y = f (x+3)2.
Click here to view the graph. |
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18) Read the problem above and choose the appropriate graph for the transformed function y = 8f (x)2.
Click here to view the graph. |
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| 20) Simplify. 6(x – 3)
Click here to review the unit content explanation for Expressions, Equations, and Inequalities.
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| 22) Choose <, >, or =.
Click here to review the unit content explanation for Integers and Equations.
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| 23) Simplify. (–2xy2z4)2
Click here to review the unit content explanation for Inequalities and Measurements.
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| 24) Find the sum: (8x – 3y) + (–2x +7y)
Click here to review the unit content explanation for Rational Numbers and Exponents.
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| 26) Find the x-intercept and y-intercept of the line 2x + y = 5
Click here to review the unit content explanation for Linear Equations and Graphs.
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| 28) List three (3) methods used to solve a quadratic equation.
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| 29) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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| No offline activities found |
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