Find the equation of the parabola that passes through the points (-2,4), (2,2), and (4,9)

Question

Use system of equations to solve problem

Answer 1

4= 4a -2b + c, 2=4a +2b +c, 9=16a +4b +c

for y=ax^2 +bx+c

a vertical parabola

or

a horizontal parabola

x=ay^2+by+c

-2=16a+4b+c, 2=4a+2b+c, 4=81a+9b+c

solve by substitution, elimination or matrix algebra