For the following quadratic function in standard form, /(x) = 2(x -3) - 24 , a) How do we know, by inspecting the function, that the x-intercepts exist? b) Find the exact coordinates of the x-intercepts. Show that you are able to find them by taking the square root of both sides. Do not find a calculator approximation and do not use the Quadratic Formula. For the following quadratic function in general form, (x) - -2x* + 4x + 5 , c) Use the vertex formula to find the exact coordinates of the vertex. d) Find the h-intercept. e) State the equation on the axis of symmetry. f) A child throws a ball up into the air from the side of a bridge. The function above, h(x), represents the height of the ball above the water (in metres) and x represents the horizontal distance from the child (in metres). Where, on the water surface, does the ball land? Use the Quadratic Formula to find an exact answer, fully simplified. Do not find a decimal calculator approximation