vertex-shaped parabola.
Answer 1
the shape of the vertex y = a(x − h)² + k with the vertex being (h,k)
the axis of symmetry is x = h
We therefore look at B because it is the only one with y = a(x + 1)² + k
the maximum height is k when a is negative (which points to A, B and C) if we hadn’t already figured it out)
now the final commit connects to the given point (-2,1)
1 = a(-2 + 1)² + 6
∴ one + 6 = 1
∴a = -5
Answer B