The Parabola Formula Calculator computes the y-coordinate value of a parabola given the x-coordinate value and the parabola constants (a, b and c) to create the equation y = a•x²+b•x+c.

INSTRUCTIONS: Enter the following:

• (a) Second Degree Coefficient
• (b) First Degree (linear) Coefficient
• (c) Constant
• (x) Domain Value

Parabolic Value (y):  The calculator returns the value for y.

The Math / Science

The formula for a parabola is

y = a•x²+b•x+c

where:

• y = dependent variable
• a, b, c are coefficients
• x = independent variable

Parabola Calculators

• Parabola Formula:  This computes the y coordinate of a parabola in the form y = a•x²+b•x+c
• Parabolic Area: This computes the area within a section of a parabola
• Parabolic Area (Concave): This computes the outer area of a section of a parabola.
• Parabolic Arc Length: This computes the length a long a segment of a parabola.
• Paraboloid Volume: This is the volume of a parabola rotated around an axis (i.e. paraboloid)
• Paraboloid Surface Area : This is the surface area of a paraboloid.
• Paraboloid Weight: This is the weight or mass of a paraboloid.
• Ballistic Flight Parabolic Equation: This provides the formula of the parabola that matches a ballistic flight.

Usage

One of the most common representations of a parabola in nature is an object moving in the gravitational field of a massive body, such as the projectile motion of a body affected by the Earth's gravity.  The figure shows the parabolic trajectory typifying a projectile that is affected solely by gravity, g.

References

[Figure] Initial velocity of parabolic throwing
Source: Wikipedia / Fizped (modified to include motion equation)
URL: http://en.wikipedia.org/wiki/Projectile_motion#mediaviewer/File:Ferde_hajitas1.svg