Graphing Quadratic Functions
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| 1) Give an example of a real-world scenario that can be modeled with a parabola.
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For the next four problems, graph each of the following quadratic functions on graph paper, and then select the graph that matches the given quadratic function.
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| 2) Which graph matches the given quadratic function?
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| 3) Which graph matches the given quadratic function?
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| 4) Which graph matches the given quadratic function?
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| 5) Which graph matches the given quadratic function?
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Vertex Form of a Quadratic
For the next four problems, compare the graphs of the functions to the graph of the parent function shown below. Describe the horizontal and the vertical translations of the vertex.
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| 6) Describe the horizontal translation and the vertical translation of the vertex.
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| 7) Describe the horizontal translation and the vertical translation of the vertex.
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| 8) Describe the horizontal translation and the vertical translation of the vertex.
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| 9) Describe the horizontal translation and the vertical translation of the vertex.
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| 10) For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
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| 11) For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
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| 12) For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
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| 13) For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
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| 14) Explain how to find the vertex of the quadratic function shown below.
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| 15) Explain how to find the direction of the opening of the quadratic function shown below.
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| 16) Explain how to find the axis of symmetry of the quadratic function shown below.
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Finding the Vertex Form of a Quadratic Using the Zeros
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| 17) Use factoring to find the zeros of the function, and then use the zeros to determine the vertex of the parabola. State the coordinates of the vertex.
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| 18) Use factoring to find the zeros of the function, and then use the zeros to determine the vertex of the parabola. State the coordinates of the vertex.
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| 19) Use factoring to find the zeros of the function, and then use the zeros to determine the vertex of the parabola. State the coordinates of the vertex.
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| 20) Use factoring to find the zeros of the function, and then use the zeros to determine the vertex of the parabola. State the coordinates of the vertex.
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| 21) Answer the following: (a) Explain what is meant by the maximum value of a parabola. (b) Explain what is meant by the minimum value of a parabola.
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| 22) Explain why the x-coordinate of the vertex of a parabola is the midpoint of the real zeros of the function.
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Solving Equations Using Square Roots
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| 23) Solve for “n.”
n2 = 121
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| 24) Solve for “x.”
81x2 = 169
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| 25) Solve for “a.”
a2 = 21
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| 26) Solve for “x.”
(x – 5)2 – 9 = 0
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| 27) Solve for “x.”
(x + 4)2 – 25 = 0
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| 28) Solve for “x.”
6(x + 2)2 – 54 = 0
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| 29) Solve for “x.”
4(x – 2)2 = 144
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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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How to "Add a Log Entry"
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| 30) 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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