Give an example of a nontrivial function where quadratic fit search would identify the minimum correctly once the function values at three distinct points are available. You can use the code in Algorithm 3.4 to help with this problem.

unction quadratic_fit_search(f, a,b,c,n) ya,yb,yc=f(a),f(b),f(c) for i in 1:n3 x=0.5(ya(b2c2)+yb(c2a2)+yc(a2b2)) (ya(bc)+yb(ca)+yc(ab)) yx=f(x) if x>b if yx>yb c,yc=x,yx else a,ya,b,yb=b,yb,x,yx end elseif xyb else a,ya=x,yx end c,yc,b,yb=b,yb,x,yx end return (a, b,c)