Quadratics and Parabola

Question

A parabola passes through the points (-2,-3) (2,9) (6,5) find the equation of the parabola​

Answer 1

It could be a leftward opening or downward opening parabola

2nd is of the form y =ax^2 +bx + c, plug in the 3 points and solve the system of 3 equations by substitution, elimination or matrix algebra

-3 = 4a-2b +c, 9=4a+2b+c, 5=36x+6b+c

1st is of the form x=ay^2 +by +c, plug in the points and solve for a,b and c

-2=9a-3b+c, 2=9a+3b+c, 6=25a+5b+c