Download - Pre-Cal 40S May 21, 2009
Transcript
What does a "sonic boom" have to do with hyperbolas?
sonicboomplane_navy.jpg
The Whisper Room
What does this have to do with ellipses?
ab
ca F1F2b
A1A 2
B1
B
The Pythagorean Property
b2 c2 a2+ =
b2c2 a2-=
Vertical EllipseHorizontal Ellipse
Horizontal Ellipse Vertical Ellipse
Sketch each ellipse. Identify the length of the major and minor axes, the coordinates of the center, foci and vertices.
Constant
BY SYMMETRY
FOCAL RADII PROPERTY
Sketch each ellipse. Identify the length of the major and minor axes, the coordinates of the center, foci and vertices.
From Standard Form to General Form and Back Again ...
Standard Form
General Form
Standard Form
Generating Hyperbolas HOMEWORK