Graphing Calculator - GeoGebra
Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more!
Calculator Suite - GeoGebra
Interactive, free online calculator from GeoGebra: graph functions, plot data, drag sliders, create triangles, circles and much more!
3D Calculator - GeoGebra
Free online 3D grapher from GeoGebra: graph 3D functions, plot surfaces, construct solids and much more!
Rotating about X-AXIS: Creating Surfaces of Revolution in GGB AR
In calculus, we often end up studying the solid of revolution formed by rotating the graph of a function about the X-AXIS. In GeoGebra's 3D Graphing Calculator, this is actually quite easy to do. The silent screencast below illustrates how easy this actually is.
Definite Integral Calculator - GeoGebra
The definite integral of a function over an interval [a, b] is the net signed area between the x-axis and the graph of the function over the interval. When a < b areas above the x-axis contribute positively to the integral and areas below the x-axis contribute negatively to the integral.
Volumes: Disk Method – GeoGebra
This applet is for use when finding volumes of revolution using the disk method when rotating an area between a function f(x) and either the x- or y-axis around that axis. As usual, enter in the function of your choice.
Quadratic Functions: the effect of "b" - GeoGebra
Notice how the graph becomes wider or taller, and reflects vertically about the x-axis when a becomes negative. a is the vertical dilation factor for this function, as shown by the Vertex Form of the equation.
Quadratic Functions: Vertex Form - GeoGebra
It determines how much the graph is stretched away from, or compressed towards, the x-axis. Note what happens to the graph when you set a to a negative value. h determines the x -coordinate of the graph's vertex.
Visualizing volumes by known cross section – GeoGebra
You can choose to view squares, equilateral triangles, or semi-circular cross sections perpendicular to the x-axis. You can also click on the 3D graph and rotate and revolve the view to get a better sense of what the solid looks like.
Visualizing Complex Roots of Quadratic Equations - GeoGebra
When the graph of intersects the x-axis, the roots are real and we can visualize them on the graph as x-intercepts. But what about when there are no real roots, i.e. when the graph does not intersect the x-axis? The equation still has 2 roots, but now they are complex.