Compression of a parabola

How do you figure out the compression of a parabola?

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A parabola is stretched away from the x-axis, thus making it more narrow, by multiplying the y-value by a number greater than 1. On the other hand, a parabola is compressed down toward the x-axis, thus making it wider, by multiplying the y-value by a number between 0 and 1.

For example, if you changed a quadratic equation from y = x² to y = 0.5x² , it would be compressed down toward the x-axis by a factor of 0.5, because each y-coordinate is multiplied by 0.5.

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