Parabola

Find the equation of a parabola that contains the points at A[6; -5], B[14; 9], C[23; 6]. (use y = ax2+bx+c)

Correct answer:

a =  -0.1225
b =  4.201
c =  -25.7941

Step-by-step explanation:

a 62+b (6)+c=5 a 142+b (14)+c=9 a 232+b (23)+c=6  36a+6b+c=5 196a+14b+c=9 529a+23b+c=6  a=252040.122549=0.1225 b=8572044.20098 c=8773425.794118
c=(25.7941)=87734=25273425.7941=25.7941  f(x)=y=a x2+b x+c



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