Write a Matlab m-file to input three points (x1,y1), (x2,y2) and (x3,y3) in the x-y plane, and to draw the function and output the equation of a parabola passing through these points.
Solve the equations once and then plug in the values.
for z = 100:105
x1=velprof(z,y1);
x2=velprof(z,y2);
x3=velprof(z,y3);
x4=velprof(z,y4);
c = [ (((x3*y4-x4*y3)*x2^2+(-x3^2*y4+x4^2*y3)*x2+x3*x4*y2*(-x4+x3))*x1^3+((-x3*y4+x4*y3)*x2^3+(-x4^3*y3+x3^3*y4)*x2+y2*x3*x4^3-x3^3*x4*y2)*x1^2+((x3^2*y4-x4^2*y3)*x2^3+(x4^3*y3-x3^3*y4)*x2^2+x3^2*x4^2*y2*(-x4+x3))*x1-x3*x2*x4*y1*(-x4+x3)*(x2-x4)*(x2-x3))/((-x4+x3)*(x2-x4)*(x2-x3)*(x1-x4)*(x1-x3)*(x1-x2)), ...
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