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Algebra 2

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how to i graph the inequality :
y<x squared - 3x + 15
whats my x and whats my y ? should i factor ?

  • Algebra 2 - ,

    To graph the inequality, graph :
    Y= x^2 - 3x + 15 = 0,

    Step 1. Find the coordinates (h,k) of
    the vertex:
    h = Xv = -b/2a = 3/2 = 1.5,
    Substitute 1.5 for x in the guad. Eq:

    k = Yv = (1.5^2) - 3*1.5 + 15 = 12.75,

    V(1.5 , 12.75),

    Step 2. Select values of x above and
    below h(Xv) and cal. the corresponding value of y:

    (-1 , 19), (0 , 15), (1 , 13), (1.5 , 12.75), (2 , 13), (3 , 15).

    The parabola does not cross the x-axis.
    Therefore, there are no real solutions.
    But we have 2 imaginary solutions(roots) which can be cal. using the
    quadratic formula.

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