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plotting with variable parameter

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let's say i want to plot a graph f(x)=x^3+b*x^2+1
but i want to visualize the graph as b changes lets say from -3 to 3 with .5 step. How can i do it?

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Accepted Answer

Star Strider
Star Strider on 23 Jun 2020
Edited: Star Strider on 23 Jun 2020
Try this:
f = @(b,x) x.^3+b.*x.^2+1;
bv = -3:0.5:3; % Define ‘b’
x = linspace(-1, 1, 25); % Define ‘x’
[B,X] = ndgrid(bv,x);
F = f(B,X);
figure
plot(x, F)
lgdb = compose('%4.1f', bv);
lgd = legend(lgdb, 'Location','best')
title(lgd, 'b')
EDIT —
Added plot figure —
.

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