## Hyperbola Calculator

Hyperbola is an open curve that has two branches that look mirror image of each other. For any point on any of the branches, the absolute difference between the point from foci is constant and equals 2a, where a is the distance of the branch from the center

### What is a Hyperbola Calculator?

'Hyperbola Calculator' is an online tool that helps to plot the graph of the given hyperbola equation. Online hyperbola calculator assists you to plot the hyperbola in a few seconds.

### How to Use Hyperbola Calculator?

Please follow the below steps to graph the hyperbola:

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

### How to Find a Hyperbola Calculator?

A hyperbola is the locus of a moving point such that the ratio of its distance from a fixed point to its distance from a fixed line is constant, i.e, it is a conic section with eccentricity e>1

The formula of a hyperbola is :

**(x-x _{0})^{2}/ (a^{2}) - (y-y_{0})^{2}/ (b^{2}) = 1 (on the x-y axis)**

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**Solved Example:**

**Example**: Plot the hyperbola given by the equation y^{2 }− 4x^{2} + 12x + 6y − 4 = 0

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

(y+3)^{2} / 4 - (x-(3/2))^{2} / 1 = 1

After comparing it with the general hyperbola equation (x-x_{0})^{2}/ (a^{2}) - (y-y_{0})^{2}/ (b^{2}) = 1

Center(h,k) = (3/2,-3)

The conjugate axis will be 2b = 2

The transverse axis will be 2a = 4

And e = √(1+(b/a)^{2}) = √(1+(1/2)^{2}) = √5 / 2 = 1.12

The directrix will be at y+3 = ±(a/e) = ±(2/ (√5 / 2)

y = -3 ± 4/√5

Asymptotes will be y = +(a/b)(x - h) + k and y = (-a/b)(x - h) + k

y = +(2)(x - 3/2) - 3 and y = -2(x - 3/2) -3

y = 2x - 6 and and y = -2x

The following figure shows this Hyperbola:

### Most Used Actions

\mathrm{simplify} | \mathrm{solve\:for} | \mathrm{inverse} | \mathrm{tangent} | \mathrm{line} |

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### Related

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### Examples

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## Hyperbola Calculator

### Answer

**Equation of the hyperbola: $$$x^{2} - 4 y^{2}=49$$$ or $$$x^{2} - 4 y^{2} - 49=0$$$.**

**Graph:** to graph the hyperbola, visit the hyperbola graphing calculator (choose the "Implicit" option).

**Standard form: $$$\frac{x^{2}}{49} - \frac{4 y^{2}}{49}=1$$$.**

**Center: $$$\left(0,0\right)$$$.**

**Vertices: $$$\left(-7,0\right)$$$, $$$\left(7,0\right)$$$.**

**Co-vertices: $$$\left(0,- \frac{7}{2}\right)$$$, $$$\left(0,\frac{7}{2}\right)$$$.**

**Foci: $$$\left(- \frac{7 \sqrt{5}}{2},0\right)\approx \left(-7.82623792124926,0\right)$$$, $$$\left(\frac{7 \sqrt{5}}{2},0\right)\approx \left(7.82623792124926,0\right)$$$.**

**Eccentricity: $$$\frac{\sqrt{5}}{2}\approx 1.11803398874989$$$.**

**Linear eccentricity: $$$\frac{7 \sqrt{5}}{2}\approx 7.82623792124926$$$.**

**Focal Parameter: $$$\frac{7 \sqrt{5}}{10}\approx 1.56524758424985$$$.**

**Major (transverse) axis length: $$$14$$$.**

**Semimajor axis length: $$$7$$$.**

**Minor (conjugate) axis length: $$$7$$$.**

**Semiminor axis length: $$$\frac{7}{2}$$$.**

**First asymptote: $$$y=- \frac{x}{2}$$$**

**Second asymptote: $$$y=\frac{x}{2}$$$**

**First directrix: $$$x=- \frac{14 \sqrt{5}}{5}\approx -6.26099033699941$$$.**

**Second directrix: $$$x=\frac{14 \sqrt{5}}{5}\approx 6.26099033699941$$$.**

**First latus rectum: $$$x=- \frac{7 \sqrt{5}}{2}\approx -7.82623792124926$$$.**

**Second latus rectum: $$$x=\frac{7 \sqrt{5}}{2}\approx 7.82623792124926$$$.**

**The length of the latera recta: $$$\frac{7}{2}$$$.**

**x-intercept: $$$\left(0, 0\right)$$$.**

**y-intercept: $$$\left(0, 0\right)$$$.**

With anyone, with Ilya, its unlikely, its too twisted between them - screwed up. With the Faceless, almost certainly, take the initiative. But most likely with Dimka, I feel sorry for the guy, he is tormented, crawling out of his way. By the way, now thats what, we must feel sorry for the guy.

Or someone else, well, with Stolz for example.

## Calculator hyperbola

So all these regrets are useless. I don't know how long I have been here. In that dark, damp basement, in which I was placed, time flows slowly. Why didn't I listen to you mommy when you dissuaded me from going to this Moscow.

And here we are again in my cozy apartment. I will briefly describe Ksyusha's appearance (in the previous story, her appearance could be judged mainly from my remarks, since the story was addressed to her). She is a head shorter than me, slender, red hair, glasses on her face (by the way, I also wear glasses), breasts somewhere between the second and third sizes.

21 years old (4 years younger than me).

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During rehearsals, the coach looked only at how Alina's legs shine in the spotlight. He wanted to suck them, put them in his mouth, and suck her feet, kiss her thighs. But most of all, he wanted to slowly, very slowly, and for a very long, very long time to fuck her, enter her tight warm young pussy, and.

Listen to her moan. He could fuck Alina all day long, he thought.

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