Equation of Parabola

How Do you Find the Standard Equation of a Parabola?

Standard form of parabola is y2 = 4ax or x2 = 4ay.

What is the Normal Equation of Parabola?

Equation of normal to the parabola y2 = 4ax with a slope m is given as: y = mx – 2am – am3

How Do You Find the Vertex of a Parabola?

For given parabola: y = ax2 + bx + c its vertex can be found using the formula x = − b/2a. Plug this x value back into the equation to find the corresponding y-coordinate.



Standard Equation of a Parabola

Standard form of a parabola is y = ax2 + bx + c where a, b, and c are real numbers and a is not equal to zero. A parabola is defined as the set of all points in a plane that are equidistant from a fixed line and a fixed point in the plane.

In this article, we will understand what is a Parabola, the standard equation of a Parabola, related examples and others in detail.

Table of Content

  • What is a Parabola?
  • Equation of a Parabola
    • General Equations of a Parabola
    • Standard Equations of a Parabola
  • Parts of a Parabola
  • Examples on Equation of a Parabola

Similar Reads

What is a Parabola?

A parabola is a conic section defined as the set of all points equidistant from a point called the focus and a line called the directrix. The standard equations for a parabola depend on its orientation (opening direction) and position....

Equation of a Parabola

Equation of parabola can be written in standard form or general form and both of them are added below:...

Parts of a Parabola

Some important terms and parts of a parabola are:...

Equation of Parabola Derivation

Let P be a point on the parabola whose coordinates are (x, y). From the definition of a parabola, the distance of point P to the focus (F) is equal to the distance of the same point P to the directrix of a parabola. Now, let us consider a point X on the directrix, whose coordinates are (-a, y)....

Examples on Equation of a Parabola

Example1: Find the length of the latus rectum, focus, and vertex, if the equation of the parabola is y2 = 12x....

FAQs on Equation of Parabola

How Do you Find the Standard Equation of a Parabola?...

Contact Us