Question: Using the same axes, draw the conics y = (ax2 + 1)1/2 for -2 x 2 and -2 y 2 using

Using the same axes, draw the conics y = ±(ax2 + 1)1/2 for -2 ≤ x ≤ 2 and -2 ≤ y ≤ 2 using a = -2, -1, -0.5, -0.1, 0, 0.1, 0.6, 1. Make a conjecture about how the shape of the figure depends on a.

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