Find the focus, directrix for y2 = -2x and finally sketch it out.
Solution: From the given equation of the parabola, we have x = - y2/2.
The minus sign over here flips the parabola to the left and we have
.
Therefore, focus and directrix are (-1/2, 0) and x = 1/2.
The final sketch of the hyperbola is shown below:
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