# Parabola Calculator

Parabola is a locus of all points which are equally spaced from a fixed line and a fixed point. Parabola is obtained by slicing a cone parallel to the edge of the cone.

## What is a Parabola Calculator?

'Parabola Calculator' is an online tool that helps to construct the graph of the given parabola equation. Online Parabola calculator assists you to graph the parabola in a few seconds.

## How to Use Parabola Calculator?

Please follow the below steps to graph the parabola:

**Step 1:**Enter the given parabola equation in the given input box.**Step 2:**Click on the**"Compute"**button to graph the parabola for the given equation.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Plot a Parabola?

Parabola is obtained by slicing a cone parallel to the edge of the cone. It is of U – shape as a stretched geometric plane.

The formula of a parabola is :

y = x^{2} (on the x-y axis)

For parabola, eccentricity is 1, that is, a : b = 1

Here, a is the perpendicular distance from the focus to a point on the curve and b is the distance from the directrix to the point.

**Solved Example:**

**Example**: Plot the parabola given by the equation y^{2 }− 4y + 4x − 4 = 0

**Solution:** The given equation can be rearranged as

(y−2)^{2}=−4(x−2)

This represents a parabola with vertex *V(2, 2)* and opening towards the left because *a *= –1 (negative).

The focus will lie at a distance of 1 unit to the left of (2, 2), i.e., at (1, 2). The directrix will lie 1 unit to the right of (2, 2), i.e. it will be x = 3.

The following figure shows this parabola: