Graphs

Click on the image and move the sliders to experiment with quadratic curves.

From Desmos comes an outstanding graphing calculator which allows you to easily plot one or more graphs, including lines of the form x=k. It is also possible to illustrate inequalities.
See this page for more information.

Function Grapher from Mathisfun

Enter one or two functions and press ‘Plot’.
Scroll down for full instructions.
Note that you can save your graph as a url.

Also from Mathisfun you can explore the properties of straight line graphs and plot more complex functions using the Equation Grapher which you could use to plot a circle for example. (For example x2+y2=9 is a circle, radius 3, centre the origin)

You can use WolframAlpha to plot graphs – see slideshows part 2 and part 3 for some examples.

GraphSketch allows you to plot functions and get a permanent url to your graph, see this example.
Settings are easily changed. Scroll down the page for information on how to enter functions.
For the modulus function use f(x) = abs(x).

Graphing Calculator from Holt Online Learning.
Enter up to 4 functions, note that you can use the blue keys on the right as well as the keyboard.
Use ^ for powers, eg x^3 for x3.

Press Graph to graph the functions. Use the Settings tab to change the axes.
To find the coordinates of points of intersection of two graphs, use the Intersection tab, select the graphs you want and then choose Find Intersection Point(s).

If you are plotting trigonometric functions note that you can choose degrees or radians.
This is a useful tool for studying transformations of graphs; for example look at the graphs of sin(x) and sin(2x) on the same diagram.

Explore quadratic curves with this tool from Math Open Reference.

 

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4 comments on “Graphs

    • Since writing that post I have written many more (I have updated the above to include references to these). I regularly use the Desmos calculator in class which means students can see how to use it and then use it at home themselves if they wish.

  1. DO ANY OF THESE TAKE THE INTEGRAL OF TWO CURVES AT THEIR INTERSECTIONS THOUGH?! 😥 I DO NOT HAVE A CALCULATOR AND I CANNOT FINISH MY HOMEWORK….

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