Types Of Parabolas Math

The line through the vertex and the focus is called the axis of the parabola. In mathematics a parabola is a plane curve which is mirror symmetrical and is approximately u shaped it fits several other superficially different mathematical descriptions which can all be proved to define exactly the same curves. We will classify the parabolas with respect to whether they are horizontal vertical and if they open to the right or to the left we will place their graphic representation of the parabolas and their respective equations.

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The parabola is therefore symmetrical about x axis which is the axis of symmetry of parabola.

Types of parabolas math. 2 y 2 4ax for a 0 x may have negative value or zero but no positive value. Y 2 4ax a left handed parabola. Y 2 4ax an up facing parabola. Different types of parabolas.

There are different types of equations in which we get a parabola. As discussed earlier there are four standard forms of a parabola. The point midway between the focus and the directrix on the parabola is called the vertex. In short they represent.

If the x axis and the y axis are interchanged then the focus is at the point f 0 a and the directrix is the line having the equation y a. Horizontal parabola that opens to the right y y 0 2 4p x x 0 x x 0 p 0. The vertex of the parabola is the origin. We see that for the equation y 2 4 a x the parabola opens to the right if a 0 and to the left if a 0.

1 y 2 4ax for a 0. Therefore in this case the parabola opens to left. The standard form of these equations with vertex as origin are. A right handed parabola.

One description of a parabola involves a point the focus and a line the directrix the focus does not lie on the directrix. X 2 4ay a down facing parabola.

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