SOLUTION: really need help on this, can normally solve these.- the question asks me to plot the following quadratic- x^2 - x - 6 (x squared minus x minus 6). my work just dosent seem r

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: really need help on this, can normally solve these.- the question asks me to plot the following quadratic- x^2 - x - 6 (x squared minus x minus 6). my work just dosent seem r      Log On


   



Question 728790: really need help on this, can normally solve these.-
the question asks me to plot the following quadratic-
x^2 - x - 6 (x squared minus x minus 6).
my work just dosent seem right. iam coming across all these fractions, we never went over this in class. NEED HELP ASAP.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


For any quadratic of the form , the graph is a parabola with a vertical line axis of symmetry opening upward if or downward if .

The -coordinate of the vertex is given by . The -coordinate of the vertex is

The axis of symmetry is the line with the equation

The -intercept is the point

Symmetry demands that there is a point on the graph at

The -intercepts, if they exist (and they do exist for your problem) are at and where and are the zeros of the polynomial. In other words, and . Note that your trinomial factors neatly over the integers: -3 + 2 = -1 and -3 X 2 = -6.

Plot the above five points and draw a smooth curve.

For future reference, any quadratic with a non-zero value for the constant term and the constant and lead coefficient have opposite signs, you are guaranteed two distinct real number zeros.

John

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