# Parabolas

Created 3 years ago

Duration 0:26:30
413
Slide Content
1. ### Slide 1 - Conics

• Portion of a hollow cone that is created when a plane cuts the cone.
2. ### Slide 2 - Parabola

• Only have either A or C
• Only have 1 square term
3. ### Slide 3 - Vertical Parabolas

• Standard Form:
• Vertex Form:
4. ### Slide 4 - Vertex Form:

• Focal Length P
• Latus Rectum 4p
• P
• Directrix
• Axis of Symmetry
• Vertex (h,k)
5. ### Slide 5 - Standard Form:

• Vertex Form:
• Horizontal Parabolas
6. ### Slide 6 - Vertex Form:

• Focal Length P
• Latus Rectum 4p
• P
• Directrix
• Axis of Symmetry
• Vertex (h,k)
7. ### Slide 7 - Ex:1

• Vertex:
• P=
• Focus:
• Directrix:
• Latus Rectum:
• Focal Length:
• Axis of Symmetry:
8. ### Slide 8 - Ex. 2

• Complete the Square to change to Vertex Form
• Get by themselves
• Complete the square
• Add 49 to both sides
• Factor perfect square trinomial
• Factor right side (linear side)
9. ### Slide 9 - Ex:2

• Vertex:
• P=
• Focus:
• Directrix:
• Latus Rectum:
• Focal Length:
• Axis of Symmetry:
10. ### Slide 10 - Ex. 3

• Divide all by 2
11. ### Slide 11 - Find the equation of a horizontal parabola going though: (-6,3) (-3,2) (-3,4)

• Standard Form:
• Plug in x & y to create a system of 3 equations

13. ### Slide 13 - Try on Your Own!!

• 1.  Determine if each parabola is vertical or horizontal:
• 2.  Write this parabola’s equation in vertex form:
• 3.  Graph the following parabola.  State the vertex, p, focus, directrix, latus rectum, focal length
• and axis of symmetry.