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