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If the coefficient of x2 is positive then the parabola is cup shaped (happy face). If the coefficient of x2 is negative then the parabola is cap shaped (gloomy face).
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In the form y=mx+b, b is the y-intercept and m is the coefficient, so if an equation has a negative coefficient, m<0. As a graph, the slope of the line is negative.
It is like the letter U.
-x times -x = x2 (negative multiplied with negative = positive) sqrt of x2 = x