How do I find the quadratic equation if I am given three points: (1,-7), (6,-52), (-7, -143)

Answer 1

Using the standard form of a quadratic equation y=Ax²+Bx+C plug in your values for each point given for x and y.

-7=A(1)²+B(1)+C

-52=A(6)²+B(6)+C

-143=A(-7)²+B(-7)+C

If you simplify these, you have 3 equations, 2 unknowns. You can solve using matrices or Gauss Jordan elimination are a few options.