Write the equation of the parabola in vertex form. Vertex (2,1), point (3, -4)
Vertex form y = a (x-h)^2 + k (h,k) = (2,1) sub in this for h,k and 3,-4 for x and y
-4 = a (3-2)^2 +1 a = -5
y = -5(x-2)^2 + 1