Mathematica-My polynomial's graph is different in two plots ?

[nalkapo]

Mathematica-My polynomial's graph is different in two plots!?

Please help...
In mathematica I used the same polynomial and plotted two times in different place.
but in these graphs, my polynomial looks different.
Is there anyone who knows the problem?

--> mathematica notebook file is attached...

 

[phyzguy]

It's just the scale that's different. Unless you tell it otherwise, Mathematica will adjust the scale so that the plot fills the graph. It needed a different scale the second time to fit both functions. If you want the same scale for both, just add a PlotRange command, as follows. If you do this for both plots, they will look the same.

Plot[{Piecewise[{{x, 0 <= x <= 1/2}, {1 - x, 1/2 <= x <= 1}}], p}, {x,
   0, 1}, PlotStyle -> {Orange, Thick}, PlotRange -> {0, 1}]

 

[nalkapo]

Thanks phyzguy,
also i sent an email to mathematica support and they corrected my commands.
they just added: AxesOrigin->{0,0} and it worked.

 

[nalkapo]

do you think it is possible that for different values of n, i can use 'Manipulate' command and plot an interactive manipulation? for example; n from 0 to 30...
i tried but it didnt work...
Is there anyone who can help, please?

i have a function and a polynomial;

f[x]=Piecewise[{{x, 0<=x<=1/2},{1-x, 1/2<=x<=1}}]
Q[x]=(1-(t-x)^2)^n
P[x]= Integrate[f[t]*Q[x],{t,0,1}]

I want to manipulate P[x] and f[x] in the same plot with changeable n values from 0 to 30. so n will affect on the shape of P[x].

 

[guerom00]

Works for me… What's your code ?
Here is what works for me :

Manipulate[
f[x_] = Piecewise[{{x, 0 <= x <= 1/2}, {1 - x, 1/2 <= x <= 1}}];
Q[x_] = (1 - (t - x)^2)^n;
P[x_] = Integrate[f[t]*Q[x], {t, 0, 1}];
Plot[{f[x], Q[x], P[x]}, {x, 0, 1}]
, {n, 0, 30, 1}]