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`y = "a" *x^2 + "b" * "x" + "c" `

Enter a value for all fields

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 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.

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**.

[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