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hyperbola construction animation

Conic Sections

Gif 6

Case I : When $|a| > 1 $

The larger the $ |a|$ is, the more the graphs narrows.

Parabola a less than absolute value of 1
Parabola a less than absolute value of 1
Case II : When $|a| < 1 $

The larger the $ |a|$ is, the more narrow the parabola is. Or, another way to think of it, the closer that the value of $a$ gets to zero, the wider the parabola becomes.

Parabola a less than absolute value of 1
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