So you want to find the equation of the **parabola calculator** you created with Geo Gebra and Google Sheets? No problem! The equation of any parabola can be calculated by finding the points at which the curve crosses the x-axis, y-axis, and where it touches the vertex. Because parabolas are symmetrical, however, there’s only one x value that will give you two real-world points on your curve; this means that if you have only one real-world point to work with, you only need to solve one quadratic equation instead of two!

**What is a Parabola?**

A **parabola calculator** is a two-dimensional, U-shaped curve that is symmetrical about its axis. It is generated by a point (the focus) moving along a line (the directrix). The path of the point is called the parabola. The equation of a parabola can be written in several different forms, depending on the orientation of the parabola. For example, if you are looking at a vertex perpendicular to the ground, it would look like this: y = x2 – 2x + 5. If you were looking down at an angle from above or below then it would look like this: y = x2/4 – 2x/4 + 5/4 or this y = x2/(4x – 1) + 5/(4x – 1). In order to find the coordinates for the points, plug them into the following formulas:

Since our original equation was oriented perpendicular to the ground, and we want x and y coordinates we will use formula one. In order to get an accurate graph and points on both sides of where it intersects with y=0 let’s use (-1,-1) as our starting point and (+1,-1) as our ending point. I’ll also label the slope m so I know what numbers correspond to what values. So when I input those points into the formulae I got these results:

y = x2/(4x – 1) + 5/(4x – 1), m = 4/-1 + 3/-1 = 7/+3 = 4/-5

**How do you calculate an Equation?**

To calculate the equation of a **parabola calculator**, you will need the following information:

1. The focus point (h, k)

2. A point on the parabola (x, y)

3. The equation will be in the form of y=a(x-h)^2+k, where a is a constant.

4. To find the value of a, plug in your known values for x, y, h, and k into the equation and solve for a.

5. Once you have your value for a, plug it back into the original equation and solve for y. This will give you your final equation in standard form.

6. If your desired equation is in vertex form, just convert it by substituting (-b/2a) for y into the original equation. 7. For example, the following equation would be solved as follows:

8. y=-5x^2+4 becomes y=-(-5/2)(x^2)+4

9. y=-(-25)/4 becomes y=25/4

10. And finally, y=5/4

**Also Check: Line Intersection Calculator**

**How do you calculate if given Lengths?**

There are several methods that can be used to calculate the equation of a parabola, but the easiest is using a parabola calculator. A parabola calculator is an online tool that allows you to input the lengths of various points on the **parabola calculator** and then calculates the equation for you. This is a great way to save time and ensure that you get accurate results. If you don’t have access to a computer or internet connection, there are other ways that may work for your situation. You could take each side of the quadrilateral and find their point equidistant from both other sides. Plot these points on graph paper or on top of each other in Microsoft Word and use the arrow keys to create the curve by connecting them with lines.

When you finish drawing the line it should look like a slightly different looking letter U (sort of). From this starting point, continue tracing down until you reach the end where it touches bottom. Now, turn around and trace back up along the same path until you reach the start. Wherever this new path intersects with your original path will be one of two possible equations – either y = ax2 + bx + c or y = ax2 + cx + bx + d. The second one will require some more work to determine what x-value was used as well as how much x-value there was at any given time during plotting because it takes into account how fast y changes over that distance.

**What are the Longest and Shortest Side Lengths?**

The longest side length of a **parabola calculator** is the chord. The shortest side length is the diameter. To find the equation of a parabola, you need to know the focus and directrix. The focus is the point on the parabola where all the rays converge. The directrix is a line that is perpendicular to the axis of symmetry at the focus. You can use this calculator to find the equations for a quadratic, cubic or quartic parabola if you know any two points on it. If you are trying to find an equation for a hyperbolic parabola with linear asymptotes, try this Hyperbolic Tangent Function calculator instead.

How to Calculate an Equation for a Parabola: To calculate the equation of a parabola using this calculator, you’ll need to input three values- either coordinates (x1, y1) or (x2, y2), coordinates (a, b) or some function notation like y = x^2 or y = -5x+7. After entering your information into the input fields in the calculator window below -click on ‘Show’ in order to view your calculated answer. Type in the number of both variables(x 1,y 1)(x 2,y 2)(a,b) or type in the equation of the parabola. Press Calculate to see the result.

What do you want to find? Press Calculate to see the result. Once you have found the equation of the **parabola calculator**, graph it by plotting points on a graph paper so that each coordinate has its own corresponding point. Plot the following four points: (0,0), (a,b), (-a,-b) and (-√((√((4*√(((x 1*x 2)*(-3))))))/2)+10)/(-3))/9. Note how these four points correspond to each other based on their coordinates!