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3 November, 06:38

What is the connection between the y-intercept and the rule y=x^2-2x-8?

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  1. 3 November, 06:55
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    The x-intercepts are the ordered pairs that have values of 0 for the y-values.

    Various methods exist:

    1) Graphing

    2) Quadratic Formula

    3) Factoring

    Let's factor. The coefficient of the x2 term is 1 so we can look at the constant term, - 8, and find its factors that add up to, 2, the coefficient of the x term.

    Factors of - 8:

    1 + (-8) = - 7, Does not work

    (-1) + 8=7, Does not work

    2 + (-4) = - 2, Does not work

    (-2) + 4=2, Works because it is 2

    0 = (x-2) ⋅ (x+4)

    Now set each factor equal to zero.

    (x-2) = 0

    x=2

    (x+4) = 0

    x=-4

    The x-intercepts are (2,0) and (-4,0).
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