Question 1104252
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1.) Vertex at (2,5) Focus at (2,-3)

2.) Diretrix: x= 3/4  Focus: (5/9, -3)
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The directrix for your example (1)  will be the line y=13.



You can find the equations using these as guidance:


<a href="https://www.youtube.com/watch?v=Wworlx39KfQ">derive parabola equation given known focus and directrix, vertex not at origin</a>


<a href="https://www.youtube.com/watch?v=M8LGsQMwwj4">if vertex is at origin, derive equation for parabola given focus and directrix</a>