
### Instruction: help me answer this question Find the equation of the parabola that satisfies the given conditions: Focus (6,0); directrix x = – 6, think step by step
### Assistant: The focus lies on the x-axis, so the equation of the parabola is either of the form y^2 = 4ax or y^2 = -4ax. The directrix, x = -6, is to the left of the y-axis, and the focus (6, 0) is to the right of the y-axis. Hence, the parabola is of the form y^2 = 4ax. Here, a = 6. , The answer is y^2 = 24x.
