1. Ch10.2 and additional material
Parabolas
Ch10.2 and additional material

3. Conic Sections - Parabola
The latus rectum is the line segment passing through the focus, perpendicular to the axis of symmetry with endpoints on the parabola.
Latus Rectum
Focus
Vertex (h, k)

4. Conic Sections - Parabola
The length of the latus rectum is 1/|a|
The focal length is c=1/(4|a|)
Latus Rectum
Focus
Focal length (c)
Vertex (h, k)

5. Table of Rules : y = a(x - h)2 + k
Opens Up
Down
Vertex
(h,k)
Axis
x=h
Focal length
Focus
(h, k+c)
(h, k-c)
Directrix
y=k-c
y=k+c
Latus Rectum 4c

6. Table of Rules : x = a(y - k)2 + h
Opens
Right
Left
Vertex
(h,k)
Axis
y=k
Focal length
Focus
(h+c, k)
(h-c, k)
Directrix
x=h-c
x=h+c
Latus Rectum 4c

7. Ex) Find the vertex, axis of symmetry and direction of opening.

8. Ex) Graph

9. Ex) Find the min/max value, the length of the latus rectum, and intercepts on the axis perpendicular to the axis of symmetry.