College Algebra

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Let g(x) = -2x2 + bx + c be a quadratic function, defined everywhere, where b and c are constants. If x = 1 marks the location of one of the zeros of this quadratic function, and if the y-intercept of this function is at (0, 5), then use this information to name constant b.

  • College Algebra -

    g ( x ) = - 2 * x ^ 2 + b * x + c

    For:

    x = 0

    y= 5

    Then:

    g( x ) = - 2 * 0 ^ 2 + 0 * x + c = 5

    g( x ) = c = 5

    c = 5


    For:

    x= 1

    y = 0

    g ( x ) = - 2 * 1 ^ 2 + b * 1 + c = 0


    g ( x ) = - 2 + b + c = 0

    g ( x ) = - 2 + b + 5 = 0

    g ( x ) = b + 3 = 0

    b = -3

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