
### Instruction: help me answer this question Find the equation of the parabola with equation y^2 = 10x., think step by step
### Assistant: On comparing the given equation with y^2 = 4ax, we get a = 5/2. The coordinates of the focus are (a,0) = (5/2, 0). The given equation involves y^2, so the axis of the parabola is the x-axis. Therefore, the equation of directrix is x = -a, which is x = -5/2. The length of latus rectum is 4a = 4(5/2) = 10. , The answer is y^2 = 10x.
