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Question

Describe Equation of Curves


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Solution

A curve is a shape that can be closed or open. Some of the open curves are parabola, hyperbola, and straight line. These curves can be represented in the cartesian plane using equations.

Let's see how we can do that.

A curve can be represented in a graph using the help of equations.

Let's understand it with the help of some examples.

The equationy=x2 represents a parabola in the cartesian plane, as shown below.

Quadratics: Graphing Parabolas | SparkNotes

The equationax2+by2=c is the general equation for an ellipse. When aandb are equal, we get the equation of a circle

Graphing - Worked Examples

Hence curves can be both open and close as well.


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