The stream of water from a fountain follows a parabolic path. The stream reaches a maximum height of 4 feet, represented by a vertex of (6,4), and lands 12 feet from the water jet, represented by (12,0). Write a function in vertex form that models the path of the stream.

Answer:y = -4/36 * (x-6)^2 + 4 Step-by-step explanation:The  quadratic equation expressed  in vertex from isy = a(x-h)^2 + k The vertex is  Vertex = (h,k) = (6,4)This meansy = a(x-6)^2 + 4 To find a, we know that at 12 feet from the water jet, the height is equal to zero.0 = a(12-6)^2 + 4 a = -4/36Therefore, the equation is y = -4/36 * (x-6)^2 + 4 Please see attached graph for reference.