
### Instruction: help me answer this question y2 = 12x, think step by step
### Assistant: Since the coefficient of x is positive, the parabola opens towards the right. On comparing the given equation with y2 = 4ax, we get 4a = 12, which gives a = 3. Thus, the coordinates of the focus are (a, 0) = (3, 0), and the equation of directrix is x = -a, which gives x = -3. The length of the latus rectum is 4a = 12. , The answer is The coordinates of the focus are (3, 0), the axis of the parabola is the x-axis, the equation of the directrix is x = -3, and the length of the latus rectum is 12.
