Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at

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Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin.
1. Focus: (−6, 0)
2. Focus: (0, 7)
3. Directrix: y = −3
4. Directrix: x = 3
5. Passes through the point (3, 6); horizontal axis
6. Passes through the point (4, −2); vertical axis
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