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1.5.E: Exercises

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    1.5 Exercises

    Exercise \(\PageIndex{1}-\PageIndex{6}\)

    Write an equation for the quadratic function graphed.

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    6.
    Exercise \(\PageIndex{7}-\PageIndex{12}\)

    For each of the following quadratic functions, find the \(x\)-intercepts and \(y\)-intercepts.

    7. \(y(x) = 2x^2+10x+12\) 8. \(z(p)=3x^2+6x-9\)
    9. \(f(x)=2x^2-10x+4\) 10. \(g(x) = -2x^2-14x+12\)
    11. \(h(t)=-4t^2+6t-1\) 12. \(k(t) = 2x^2+4x-15\)
    Exercise \(\PageIndex{13}\)

    The height of a ball thrown in the air is given by \(h(x) = -\frac{1}{12}x^2+6x+3\), where \(x\) is the horizontal distance in feet from the point at which the ball is thrown.

    1. How high is the ball when it was thrown?
    2. What is the maximum height of the ball?
    3. How far from the thrower does the ball strike the ground?
    Exercise \(\PageIndex{14}\)

    A javelin is thrown in the air. Its height is given by \(h(x)=-\frac{1}{20}x^2+8x+6\), where \(x\) is the horizontal distance in feet from the point at which the javelin is thrown.

    1. How high is the javelin when it was thrown?
    2. What is the maximum height of the javelin?
    3. How far from the thrower does the javelin strike the ground?

    This page titled 1.5.E: Exercises was last modified on Tue, 09 Jul 2024 03:44:25 GMT and is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Shana Calaway, Dale Hoffman, and David Lippman (The OpenTextBookStore) via source content that was edited to the style and standards of the LibreTexts platform.