Properties of Parabolas Every point on a parabola is equidistant froma point called the focus and a line called thedirect...
 Parabolas can open vertically or horizontally.x2 = 4py y2 = 4px[Equations only good for vertex at (0, 0).]
To Graph: Determine if the axis of symmetry is verticalor horizontal. Find and graph the focus and directrix. Solve for...
Example: Identify the focus and directrix of theparabola given by and draw theparabola.
Example: Identify the focus and directrix of theparabola given by and draw theparabola.
Your Turn! Identify the focus and directrix of theparabola given by and draw theparabola.
Writing an Equation Use the equation of the directrix to find p. Remember: y = -p or x = -p Plug that value of p into t...
Example: Write an equation of the parabola shown.
Example: Write an equation of the parabola shown.
Your Turn!Write an equation of the parabola shown.
Parabolas in Real Life Rays that are parallel to the axis of symmetryof a parabolic reflector are all directed to thefocu...
Example: A reflector for a satellite dish is parabolic incross section, with the receiver at the focus.The reflector is 1...
10.2 parabolas
Upcoming SlideShare
Loading in...5
×

10.2 parabolas

544
-1

Published on

Published in: Education, Technology, Business
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
544
On Slideshare
0
From Embeds
0
Number of Embeds
2
Actions
Shares
0
Downloads
24
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

10.2 parabolas

  1. 1. Properties of Parabolas Every point on a parabola is equidistant froma point called the focus and a line called thedirectrix. The directrix isperpendicular to the lineof symmetry. The vertex is halfwaybetween the focus anddirectrix.
  2. 2.  Parabolas can open vertically or horizontally.x2 = 4py y2 = 4px[Equations only good for vertex at (0, 0).]
  3. 3. To Graph: Determine if the axis of symmetry is verticalor horizontal. Find and graph the focus and directrix. Solve for the squared variable, then find p. Make a table of values and plot points. Connect with a curve.
  4. 4. Example: Identify the focus and directrix of theparabola given by and draw theparabola.
  5. 5. Example: Identify the focus and directrix of theparabola given by and draw theparabola.
  6. 6. Your Turn! Identify the focus and directrix of theparabola given by and draw theparabola.
  7. 7. Writing an Equation Use the equation of the directrix to find p. Remember: y = -p or x = -p Plug that value of p into the standardequation:x2 = 4py for vertical axis of symmetryy2 = 4px for horizontal axis of symmetry
  8. 8. Example: Write an equation of the parabola shown.
  9. 9. Example: Write an equation of the parabola shown.
  10. 10. Your Turn!Write an equation of the parabola shown.
  11. 11. Parabolas in Real Life Rays that are parallel to the axis of symmetryof a parabolic reflector are all directed to thefocus. Ex: Satellite dishes Rays emitted from thefocus are reflected inrays parallel to the axisof symmetry. Ex: Flashlights
  12. 12. Example: A reflector for a satellite dish is parabolic incross section, with the receiver at the focus.The reflector is 1 ft. deep and 20 ft. widefrom rim to rim. Write an equation for the cross section of thereflector. How far is the receiver from the vertex of theparabola?
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×