Standard form of the equation of the parabola calculator

Question

A parabolae plural parabolas or parabola is a two-dimensional, mirror-symmetrical curve. It can be in any orientation in its plane and approximately U-shaped.

Table of Contents Show

The Parobola Equation in Vertex Form
Parobola Equation in Standard Form
The Parobola Equation graph below:
Parabola Equation Calculator For You To Use
How To Find the Equation of a Parabola
Steps To Using the Parabola Equation Solver
Where Can I Get Homework Help With My Math Assignment?
How to Use the Parabola Calculator?
What is Meant by Parabola?
How do you write the standard form of the equation of a parabola?

The parabola involves a line (the directrix) and a point (the focus). A parabola is a graph of a quadratic function, such as y=x^2.

The Parobola Equation in Vertex Form

(X-h)2 = 4a(Y-k); ( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

Where vertex: (h, k), focus: (x1, y1).

Parobola Equation in Standard Form

Y = (1/4a)X2 - (h/2a)X + (k + h2/4a);

Where a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

The Parobola Equation graph below:

The complete parabola has no endpoints. In the graph Part of a parabola is blue, it's various features in other colours. The parobola's orientation could extends to the downward, left, right, and upward.

Thinkcalculator.com provides you helpful and handy calculator resources.

Parabola Equation Calculator For You To Use

What is a parabola? It is a U-shaped symmetrical curve with every point lying on it being equidistant from both a certain point.

Therefore, we can use a parabola calculator to calculate the path made by an object in projectile motion.

The parabola equation calculator displays the graph of the parabola after entering the required values. Our parabola generator makes the calculation faster and displays the parabola graph in a fraction of seconds.

It can serve as the following:

Latus rectum calculator
Focus and directrix calculator
Parabola standard form calculator
Focal parameter calculator
Axis of symmetry and eccentricity calculator.

The parabola equation finder will help you solve your engineering algebraic problems and academic equations easily.

How To Find the Equation of a Parabola

Use the formula to find the equation of a parabola calculator in vertex form:

Now, the standard form of a quadratic equation is y = ax² + bx + c

Therefore, the equation of a parabola calculator in its vertex form is y = a(x-h)² + k, where:

a is similar to the a coefficient in the standard form;
h is the parabola vertex x-coordinate
k is the parabola vertex y-coordinate

To find the values of h and k, use the equations below:

h = - b/ (2a)

k = c - b²/ (4a)

On the other hand, the formula of the parabola standard form calculator is:

y = (x2 / (4a)) - (hx / 2a) + (k + (h2 / (4a)))

Where,

h = is the x-coordinate of parabola Vertex

k = is the y-coordinate of parabola Vertex

x = is the x-coordinate of parabola Focus

y = is the y-coordinate of parabola Focus

Here is an example:

#1: Find the directrix of the parabola. (using either the parabola calculator or the equation)

y = c - (b² + 1)/ (4a) = -4 - (9+1)/8 = -5.25

#2: Calculate the coordinates of the vertex, where a = 2, b = 3 and c = -4.

h = - b/ (2a) = -3/4 = -0.75

k = c - b²/ (4a) = -4 - 9/8 = -5.125

Steps To Using the Parabola Equation Solver

The procedure is as simple as shown below:

Enter the necessary data in the input field
Hit the button “Submit”
The parabola graph will finally be displayed in the new window

You do not need any rocket science knowledge to use this parabola solver effectively. Provided you are armed with the formula; you can easily use the parabola equation calculator from points. On top of that, the parabola generator has a user-friendly site that can be used by amateurs and pros.

Where Can I Get Homework Help With My Math Assignment?

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If the parabola calculator answers are not enough, why not give this a try? It is worth it.

Parabola Calculator is a free online tool that displays the graph for the given parabola equation. BYJU’S online parabola calculator tool makes the calculation faster, and it displays the graph of the parabola in a fraction of seconds.

How to Use the Parabola Calculator?

The procedure to use the parabola calculator is as follows:
Step 1: Enter the parabola equation in the input field
Step 2: Now click the button “Submit” to get the graph
Step 3: Finally, the parabola graph will be displayed in the new window

What is Meant by Parabola?

In Maths, a parabola is one of the types of conic sections. A parabola is a symmetrical plane curve which is formed by the intersection of a right circular cone with a plane surface. It is a U- shaped curve with specific properties. In short, a parabola is a curve such that any point on the curve is at equal distance from a fixed point called locus and a fixed straight line called the directrix. The simplest form of parabola equation is given by y = x2.

How do you write the standard form of the equation of a parabola?

For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).

standard form equation parabola calculator Parabola graph calculator