**Parabola Calculator** is a free online tool to display the deails of a parabola equation. **Protonstalk Parabola calculator** is one such handy tool to display the graph faster and easier.

## About Parabola Calculator

### Inputs

The following is the required input of the calculator

- Equation of the parabola

### Steps To Use

Following are the steps to use the calculator

**Step 1:**Enter the parabola equation in the input field.**Step 2:**Click “**Submit**” to display the graph.**Step 3:**The result displays in a new window

### Outputs

Following are the outputs of the calculator

- Input
- Geometric figure (Focus, Vertex, Semi-axis length. focal parameter, eccentricity, directrix)

## Parabola

In mathematics, A **Parabola** is a U-shaped plane curve with mirror symmetry. A parabola is defined as the locus of points in that plane that are at equal distance from both the directrix and the focus of the parabola.

Coming to the equation of parabola,

If a parabola has a vertical axis, the standard form of the equation of the parabola is:

**(x – h) ^{2} = 4p(y – k), where p≠ 0. **

The **vertex** of this parabola is at (*h*, *k*). The **focus** is at **( h, k + p)**. The

**directrix**is the line

**. The axis is the line**

*y*=*k*–*p**x*=

*h*

f a parabola has a horizontal axis, the standard form of the equation of the parabola is this:

**(y – k) ^{2} = 4p(x – h), where p≠ 0.**

The **vertex** of this parabola is at **( h, k)**. The

**focus**is at

**(**. The

*h*+*p*,*k*)**directrix**is the line

*x*=*h*–*p***More Mathematical Calculators**