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 \(h(x)=-\dfrac{1}{12} x^{2} +6x+3\), 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 \(f(x)=-\dfrac{4}{2500} x^{2} +\dfrac{4}{5} x\).
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)=-\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 \(h(x)=-\dfrac{1}{12} x^{2} +6x+3\), 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 \(f(x)=-\dfrac{4}{2500} x^{2} +\dfrac{4}{5} x\).