Question

to be fit to the following points: (1,2), (2,6), and (3,4). Write the three (t), and (3 equations involving point (2,5). (0.5 points each)

Answer 1

I solved the whole problem but as per your question you need solution till 8th equation...
We want the equations comes after involving the point (2, 5) equation between (1, 2) and (2, 6) y = a_1 x^2 + b_1 x + c_1 for 1 lessthanorequalto x lessthanorequalto 2 now we have the equations from here at x = 1 y = 2 2 = a_1 + b_1 + c_1 at x = 2 y = 6 6 = 4 a_1 + 2 b_1 + c_1 again equations between (2, 6) and (3, 4) y = a_2 x^2 + b_2 x + c_2 for 2 lessthanorequalto x lessthanorequalto 3 6 = 4 a_2 + 2 b_2 + c_2 at x = 2 y = 6 at x = 3 y = 4 4 = 9 a_2 + 3 b_2 + c_2 \r\n similarly by involving the point (2, 5) we have equations between (3, 4) and (2, 5) as y = a_3 x^2 + b_3 x + c_3