For each of the follow quadratic functions, find a) the vertex, b) the vertical intercept, and c) the horizontal intercepts. The height of a ball thrown in the air is given by \(h(x)=-\dfrac{1}{12} x^...For each of the follow quadratic functions, find a) the vertex, b) the vertical intercept, and c) the horizontal intercepts. The height of a ball thrown in the air is given by h(x)=−112x2+6x+3, where x is the horizontal distance in feet from the point at which the ball is thrown. Impose a coordinate system as pictured below and assume that the path the balloon follows is the graph of the quadratic function f(x)=−42500x2+45x.