Graphing Quadratic Functions Quiz
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Questions and Answers

What does graphing a quadratic function involve?

  • Transformations
  • Standard and vertex form
  • Part of the parabola
  • All of the above (correct)
  • What are the types of transformations?

    Translation, vertical stretch and compression, and reflection

    The function for translation up is f(x) = (x) + ______

    n

    The function for translation down is f(x) = (x) - ______

    <p>n</p> Signup and view all the answers

    The function for translation left is f(x) = (x + ______)

    <p>n</p> Signup and view all the answers

    The function for translation right is f(x) = (x - ______)

    <p>n</p> Signup and view all the answers

    The condition for a vertical stretch is ______ > 1, with f(x) = (______)(x)

    <p>a, a</p> Signup and view all the answers

    A vertical compression occurs at a = 0.

    <p>True</p> Signup and view all the answers

    Study Notes

    Graphing Quadratic Functions

    • Involves understanding transformations, standard form, vertex form, and key characteristics of a parabola.

    Types of Transformations

    • Includes translation (shifting graph), vertical stretch (increasing steepness), vertical compression (decreasing steepness), and reflection (flipping the graph).

    Translation Up

    • Defined mathematically as f(x) = (x) + n, shifting the graph upward by n units.

    Translation Down

    • Represented as f(x) = (x) - n, shifting the graph downward by n units.

    Translation Left

    • Expressed as f(x) = (x + n), which moves the graph left by n units.

    Translation Right

    • Formulated as f(x) = (x - n), moving the graph right by n units.

    Vertical Stretch

    • Occurs when a > 1, affecting the steepness of the graph, defined as f(x) = (a > 1)(x).

    Vertical Compression

    • Happens when 0 < a < 1, reducing the steepness of the graph.

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    Description

    Test your understanding of graphing quadratic functions, including transformations like translations and vertical stretches. This quiz covers the mathematical definitions and effects of moving parabolas in various directions. Challenge yourself with key characteristics of parabolas and their transformations!

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