This document provides an algebra 2 warm up on conic sections and reviewing parabolas. It contains 3 conic section equations to graph, definitions and key properties of parabolas, examples of finding the equation of parabolas given the vertex and directrix, and practice problems finding the vertex, focus, directrix, and axis of symmetry of parabolas given their equations.

1. Algebra 2 - Warm up / Conic Review
Directions: Graph each conic section
1. ( x  5) 2  y 2  25
2.
4 x 2  y 2  36
3.
y2 x2

1
49 4

2. Parabolas

3. A parabola (in conic sections) is the set of all points that are
equidistant from a fixed line called the directrix, and a fixed
point not on the line, called the focus.

4. Equation of parabolas:

5. Find the equation of the parabola:
Focus (0,0)
Directrix: y = 6

6. Find the equation of the parabola:
Vertex (0,0)
Focus: (5,0)

7. Practice:
Find the equation of the parabola
Vertex: (4 , 2)
Directrix: y = 5

8. Find the vertex, focus, directrix, and axis of symmetry:
y 2  12 x  2 y  25  0

9. Another example
Find the vertex, focus, directrix, and axis of symmetry:
x2  8 y  4x  4  0

10. Practice:
Find the vertex, focus, directrix, and axis of symmetry:
x 2  10 x  16 y  7  0