Find an equation of the form y=ax^2+bx+c whose graph passes through the points (-1,-4), (-3,-14) and (4,-14).

Find an equation of the form y=ax^2+bx+c whose graph passes through the points (-1,-4), (-3,-14) and (4,-14).

y=ax^2 + bx + c

Substituting point #1:

-4 = a(-1)^2 + b(-1) + c

Substituting point #2

-14 = a(-3)^2 + b(-3) + c

Substituting point #3

-14 = a(4)^2 + b(4) + c

If I did everything correctly, you now have three independent equations, and three unknowns. Solve the set of simultaneous equations for a, b, and c.