Consider the parabola given by the equation y2=−12x. Answer the following:
(i) Identify the numerical value of the parameter a.
(ii) Determine the coordinates of the vertex and focus.
(iii) Write the equations of the directrix and the axis.
(iv) Find the length of the latus rectum and give its equation.
(v) Sketch a rough diagram of the parabola, clearly labelling the vertex, focus, directrix, axis and latus rectum.