A parabola passes through the points (0,-2),(2,-6) and (5,3). What is the equation of the parabola in standard form?

Question

A parabola passes through the points (0,-2),(2,-6) and (5,3). What is the equation of the parabola in standard form?

Answer 1

The standard form is Ax² + Bx + C = y

You know immediately that C = -2

The other 2 points give you 2 simultaneous linear in equations in the variables A and B.