Graphing Quadratic Equations In Standard Form

The coefficient $a$ controls the speed of increase of the parabola.

The black curve is $y=4x^2$ while the blue curve is $y=3x^2.$ The black curve appears thinner because its coefficient $a$ is bigger than that of the blue curve.

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"Original figure by Mark Woodard. Licensed CC BY-SA 4.0."

Mark Woodard CC BY-SA 3.0.

Graphing Quadratic Equations In Standard Form

The coefficient $a$ controls the speed of increase of the parabola.

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