Parabola Tricks

In comparing the graphs of
y = x2 (red)
y = 2x2 (green)
y = 4x2 (blue)

we see that each parabola opens upward (a>0) . Larger the value of "a" i.e when a>1 ,as the value of "a" increases, the shape of the parabola narrows.

When 0 < a < 1, note that the smaller the numerical value of the fraction, the "flatter" the graph. Thus, depicting the graphs of
y = x2 (red)
y = (1/2)x2 (green)
y = (1/4)x2 (blue)


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