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 following 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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Vertex Form of a Quadratic
For the following 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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| 5) Describe the horizontal translation and the vertical translation 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) 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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| 9) 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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| 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) Explain how to find the vertex of the quadratic function shown below.
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| 12) Explain how to find the direction of the opening of the quadratic function shown below.
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| 13) 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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| 14) 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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| 15) 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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| 16) 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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| 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) 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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| 19) 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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| 20) Solve for “n.”
n2 = 121
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| 21) Solve for “x.”
81x2 = 169
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| 22) Solve for “a.”
a2 = 21
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| 23) Solve for “x.”
(x – 5)2 – 9 = 0
Hint: Move 9 over to the right side of the equation then take the square root of both sides.
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| 24) Solve for “x.”
6(x + 2)2 – 54 = 0
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| 25) Solve for “x.”
4(x – 2)2 = 144
Hint: Divide both sides of the equation by 4 first.
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| 26) 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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