TOPIC: PARABOLA

A.

Reduce the equations in standard form then determine the direction of opening, vertex, p, focus, directrix, axis of symmetry and the length of the latus rectum.

1. 4x+4x-24y+25=0
2. 36x+72x-132y-228=0
3. 5y+30y+24x=15

B.

Find the equation of the parabola that satisfies the given conditions.

1. focus: (-1,2) directrix: x=-7
2. vertex: (4,-9) focus: (4,-4)
3. vertex at (-1,2) and passing through (2,9)
4. vertex at (5,2) endpoints of lotus rectum (2,8) and (2,-4)