Our conic equations will have b = 0, so no 'bxy' for us!

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Parabola Notes August 15, 2017 General form of a conic section: ax 2 +bxy+cy 2 +dx+ey+f=0 Our conic equations will have b = 0, so no 'bxy' for us!

Transcript of Our conic equations will have b = 0, so no 'bxy' for us!

Page 1: Our conic equations will have b = 0, so no 'bxy' for us!

Parabola Notes  August 15, 2017

General form of a conic section:

ax2+bxy+cy2+dx+ey+f=0

Our conic equations will have b = 0, so no 'bxy' for us!

Page 2: Our conic equations will have b = 0, so no 'bxy' for us!

Parabola Notes  August 15, 2017

http://www.mathdemos.org/mathdemos/family_of_functions/conic_gallery.html

https://www.youtube.com/watch?v=v­pbGAts_Fg

The latus rectum is a line segment that passes through the focus (midpoint of LR), is perpendicular to the axis of symmetry and parallel to the directrix, and has it's endpoints on the parabola. We will use the segment to find 2 additional points on the parabola.http://mathworld.wolfram.com/LatusRectum.html

http://www.mathdemos.org/mathdemos/family_of_functions/conic_gallery.html
https://www.youtube.com/watch?v=v-pbGAts_Fg
http://mathworld.wolfram.com/LatusRectum.html
Page 3: Our conic equations will have b = 0, so no 'bxy' for us!

Parabola Notes  August 15, 2017

Add latus rectum endpoints (LREP).

Page 4: Our conic equations will have b = 0, so no 'bxy' for us!

Parabola Notes  August 15, 2017

LREP

LREP

Page 5: Our conic equations will have b = 0, so no 'bxy' for us!

Parabola Notes  August 15, 2017

LREP,

(3 different equations_

Page 6: Our conic equations will have b = 0, so no 'bxy' for us!

Parabola Notes  August 15, 2017

LREP

LREP

Page 7: Our conic equations will have b = 0, so no 'bxy' for us!

Parabola Notes  August 15, 2017


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