Function Repository Resource:

ManipulatePlot

Source Notebook

Generate a plot in which the plot ranges and function parameters can be manipulated dynamically

Contributed by: Wolfram|Alpha Math Team

ResourceFunction["ManipulatePlot"][expr,{x,lo,hi},{a,min,max},…]

returns a manipulable plot of expr on the domain lo≤x≤hi with symbolic parameters varying on the given domains.

ResourceFunction["ManipulatePlot"][{expr₁,expr₂,…},…]

returns a manipulable plot of all of the expr_i.

Details and Options

ResourceFunction["ManipulatePlot"] has syntax that merges those of Manipulate and Plot where the independent variable for plotting x, along with its bounds, forms the second argument. Subsequent parameters become Manipulate variables.

ResourceFunction["ManipulatePlot"] takes the options of both Manipulate and Plot.

Both the horizontal and vertical plot ranges are adjustable in the generated plot.

Examples

Basic Examples (1)

Plot a basic function allowing manipulation of the parameters and plot range:

In[1]:=

$ResourceFunction["ManipulatePlot"][ Sin[a*x], {x, -\[Pi], \[Pi]}, {a, -1, 1}]$

Out[1]=

Scope (2)

Initialize a parameter using Manipulate syntax:

In[2]:=

$ResourceFunction["ManipulatePlot"][ Sin[a*x], {x, -\[Pi], \[Pi]}, {{a, 1/2}, -1, 1}]$

Out[2]=

ManipulatePlot can support multiple curves and take many parameters:

In[3]:=

Out[3]=

Options (1)

ManipulatePlot accepts options for both Plot and Manipulate:

In[4]:=

$ResourceFunction["ManipulatePlot"][ Sin[a*x], {x, -\[Pi], \[Pi]}, {{a, 1/2}, -1, 1}, PlotTheme -> "Business"]$

Out[4]=

Publisher

Wolfram|Alpha Math Team

Version History

3.0.0 – 23 March 2023
2.0.1 – 29 September 2021
2.0.0 – 25 June 2020
1.0.0 – 19 March 2020

Related Resources

License Information

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Wolfram Function Repository

ManipulatePlot

Details and Options