Combining plots of data and functions in Mathematica using Show

This video shows how to use Mathematica's Show function to combine plots of data and functions.

[albertoherreragomez]

very useful, you went directly to the important points, thank you!

[vineetmp]

hey thanks for the video. I am a beginner in mathematica trying to plot and combine some basic functions. I found this video very useful. I have a doubt. Is there a way to regionplot the area enclosed between certain inequalities, which shows the plots of the constraint equations also?

[blurginouliz]

Hello!, I'm having some trouble here!
I want to plot 3 functions into the same graphic, and be able to use the manipulate option on them.. Say i have functions F1, F2 and F3...I know I can plot them all in the same plot command, for example Manipulate[Plot[{F1, F2, F3}, {functions domain}], {Manipulation range}]and that will work just fine... The problem is, I have two functions F1 and F2 that are in polar coordinates, and the last one F3 is a regular function in terms of "x", and it can't really be expressed in terms of polar coordinates, and i want to plot them all together in one graph and have the manipulation option... The problem here is that I can't put all three functions in the same "Plot" command since for the polar functions (F1 and F2) I have to use "PolarPlot" and for the other function (F3) I have to use "Plot". When I try to plot them separately and name them, then try to use the "Show" command to combine them together, I can't bring the "Manipulate" option together... I can combine them using "Show" without the "Manipulate", but not with it... Please, can you help me out?