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Parabolas represent quadratic relationships, rather than linear relationships, which are demonstrated by a straight line, A quadratic relationship is modeled by a curve, known as a parabola.

Examples of information parabolas are used to graph would be the effect of a price increase on revenue. If the price increases and sales decrease steadily, the revenue will at first increase because the of the extra money made selling each product. Eventually, the price will become too high and sales will become so low the the revenue will slowly decrease. This relationship can be modeled by a curve that slowly rises, peaks, then slowly sinks down. It is symmetrical and quadratic. The optimal value, or maximum revenue in this case, is the vertex of the parabola (the highest point it reaches).

Q: What do parabolas represent?

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Becuase a parabola is an arch shape so that is why the 'golden arches' are parabolas.

NO. They do not oscillate.

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hyperbolas have an eccentricity (fixed point to fixed line ratio) that is greater than 1, while the parabolas have an exact eccentricity that is equal to 1. And hyperbolas are always come in pairs while parabolas are not.

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Parabolas have directori.

Parabolas are used in real life in light reflectors on cars to create a concentrated beam of intense light. Braking distance and stopping distance are quadratic formulas so their graphs are parabolas. A ball in motion in space has a path of a parabola.

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--actually they are used in real life. parabolas are seen in "parabolic microphones" or satellites. and there are others for both ellipses and hyperbolas.

There are two ways of classifying parabolas: By the direction in which they are open: open at the top or at the bottom. By the number of real roots: 2 real, 1 real or no real roots.

The form is not specified in the question so it is hard to tell. But two parabolas with different vertices can certainly have the same axis of symmetry.

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