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    1) Find the coordinates of the vertex for the parabola defined by the given quadratic function.
    f(x)=-2x(squared) + 8X - 1

    2) An equation of a quadratic function is given -- f(x)= -2X(squared) - 12X + 3
    - Determine without graphing, whether the function has a minimum value or a maximum value.
    - Find the minimum or maximum value and determine where it occurs.
    - Identify the function's domain and it's range.

    3) Among all pairs of numbers whose sum is 20, find a pair whose product is as large as possible, what is the maximum product?

    © BrainMass Inc. brainmass.com March 4, 2021, 7:33 pm ad1c9bdddf

    Solution Preview

    We have the following facts about a quadratic function f(x)=ax^2+bx+c.
    (1) If a>0, it has minimum point at x=-b/2a, the vertex is at (-b/2a, f(-b/2a)). The parabola is open upward.
    (2) If a<0, it has maximum point at ...

    Solution Summary

    This is a series of problems involving parabolas, quadratic functions, and maximum product.