Question

Write the equation of each parabola described.
1. Vertex at (2,5). Focus at (2,-3)
2. Directix:x=3/4. Focus at (5/4,-3)

Answer 1

Vertex ( h, k) = ( 2, 5 ) and F (2, -3)
-> ( x - h )² = 4p ( y - k)
-> ( x - 2 )² = -32 ( y - 5 )

Answer 2

2. Directrix :x = 3/4. Focus at (5/4,-3)
( y - k)² = 4p ( x - h )
( y + 3)² = ( x - 1)