A quadratic function f can be visualized by drawing its graph (parabola) in a (two-dimensional) coordinate system. The function graph of a quadratic function f can be defined mathematically as the set of all pairs of elements ( x | y ) for which y = f (x). The graph of the continuous quadratic function on a continuous interval forms a continuous curve.

f(x) = a⋅x^{2} + b⋅x + c

The function plotter draws the function graphs of the real quadratic function. The derivative can be drawn with (d/dx) as dotted line in the graph. The integral can be started with select ∫. The integration range can adjusted with variation of the points at the function graph.

Equation

Derivative

Zeros

Vertex

The parabola is defined by the set of all points for which the distance from the focal point (marked F in the diagram) to the parabola is equal to the perpendicular distance from the guide line (green line in the diagram) to the parabola.

The black slider illustrates the course of a parallel beam, which is reflected at the tangent (dashed) to the focal point.

Scale screen:

Number of digits =

Focal point

Equation

Distance focal point to parabola

Distance parabola to guide line

Print or save the image via right mouse click.

Here is a list of of further useful sites:

Index Function Plot Normal Distribution Plot Cubic Plotter Damped Vibration Plot Sine (sin) Plot Cosine (cos) Plot Tangent (tan) Plot Beat frequencies Plot Circle Triangle Mean Value Calculator Trigonometry Curve fit calculator