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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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Refer to the diagram below to solve the next two problems.
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| 7) Choose a point on the pre-image and state the corresponding coordinates on the image.
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| 8) Describe the translation from the pre-image to the image.
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Vertical and Horizontal Translations
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| 9) Vertical translations are moves made that are parallel to what axis?
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| 10) Horizontal translations are moves made that are parallel to what axis?
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| 11) How are horizontal translations useful?
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| 12) 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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| 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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| 14) 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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| 15) 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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Extra Practice: Check with you instructor to see if s/he would like for you to do some extra practice problems. Click here to view the practice worksheet.
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Vertical and Horizontal Stretches and Compressions
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| 16) Look at the graph below. Tell how the parent function f(x) = |x| has been transformed.
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For the next 4 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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| 17) Read the problem above and choose the appropriate graph for the transformed function y = – f (x).
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 = f (2x).
Click here to view the graph.
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| 19) Read the problem above and choose the appropriate graph for the transformed function y = f (x+3).
Click here to view the graph.
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| 20) Read the problem above and choose the appropriate graph for the transformed function y = 8f (x).
Click here to view the graph.
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| 22) Simplify. 6(x – 3)
Click here to review the unit content explanation for Expressions, Equations, and Inequalities. |
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| 24) Choose <, >, or =.
Click here to review the unit content explanation for Integers and Equations.
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| 25) Simplify. (–2xy2z4)2
Click here to review the unit content explanation for Inequalities and Measurements.
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| 26) Find the sum: (8x – 3y) + (–2x +7y)
Click here to review the unit content explanation for Rational Numbers and Exponents.
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| 28) 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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| 29) Write an inequality for the following problem. The high school is putting on a play. They will sell tickets in advance for $7. Tickets at the door will be $11. How many tickets of each type must they sell in order to raise at least $1000?
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| 31) List three (3) methods used to solve a quadratic equation.
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| 32) Solve for “x.”
(x – 5)2 + 16
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| 33) 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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