Find the standard form of the equation of the parabola with the given characteristics. 1. Vertex: (4,

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Find the standard form of the equation of the parabola with the given characteristics.
1. Vertex: (4, 2); focus: (4, 0)
2. Vertex: (2, 0); focus: (0, 0)
3. Vertex: (8, −8); directrix: x = 1
4. Focus: (5, 6); directrix: y = 0
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