# Plot functions with unknown parameters

**URL:** <https://community.wolfram.com/t/plot-functions-with-unknown-parameters/16828>\
**Category:** Questions\
**Tags:** graphics-and-visualization\
**Created:** [October 6, 2020, 7:27am UTC](https://community.wolfram.com/t/plot-functions-with-unknown-parameters/16828 "2020-10-06T07:27:03Z")\
**Posts on this page:** 3\
**Page:** 1

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**Author:** ![sonialongjam11](https://avatars.discourse-cdn.com/v4/letter/s/5daacb/32.png) [@sonialongjam11](https://community.wolfram.com/u/sonialongjam11)\
**Post date:** [October 6, 2020, 7:27am UTC](https://community.wolfram.com/t/plot-functions-with-unknown-parameters/16828/1 "2020-10-06T07:27:03Z")

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I am new to Mathematica. I have the following details. A=(((β-α)((β-1)α-2))/(2(1+α)^2 (1+β))) /K1 and  
β= K2/K1, with the plot range  
0\<α\<2 and 5\>β\>2

I want to plot a graph β vs A. Could somebody help me out how to do this plot in Mathematica?

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<div class="post-metadata">

**Author:** ![gianlucagorni](https://avatars.discourse-cdn.com/v4/letter/g/ec9cab/32.png) [@gianlucagorni](https://community.wolfram.com/u/gianlucagorni)\
**Post date:** [October 6, 2020, 12:02pm UTC](https://community.wolfram.com/t/plot-functions-with-unknown-parameters/16828/2 "2020-10-06T12:02:56Z")

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You have so many parameters that you cannot do it in a single plot. You can do it with a 3D graph

```
With[{K2 = \[Beta]*K1},
 Manipulate[
  Plot3D[
   (((\[Beta] - \[Alpha]) ((\[Beta] - 1) \[Alpha] - 
          2))/(2 (1 + \[Alpha])^2 (1 + \[Beta])))/K1,
   {\[Alpha], 0, 2}, {\[Beta], 2, 5}, 
   AxesLabel -> {\[Alpha], \[Beta], A}],
  {{K1, 1}, 0, 2}]]

```

or with a 2D graph

```
With[{K2 = \[Beta]*K1},
 Manipulate[
  Plot[
   (((\[Beta] - \[Alpha]) ((\[Beta] - 1) \[Alpha] - 
          2))/(2 (1 + \[Alpha])^2 (1 + \[Beta])))/K1,
   {\[Beta], 2, 5}, AxesLabel -> {\[Beta], A}],
  {\[Alpha], 0, 2}, {{K1, 1}, 0, 2}]]

```

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<div class="post-metadata">

**Author:** ![sonialongjam11](https://avatars.discourse-cdn.com/v4/letter/s/5daacb/32.png) [@sonialongjam11](https://community.wolfram.com/u/sonialongjam11)\
**Post date:** [October 7, 2020, 11:53am UTC](https://community.wolfram.com/t/plot-functions-with-unknown-parameters/16828/3 "2020-10-07T11:53:25Z")

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Thank you so much.
