Hyperbola - Math 4 Tigers

Find the vertices, co­vertices and the foci of the ellipse.
Find the equation of the ellipse having the foci (­6,0) & (6,0) and the sum of the focal radii of 18.
Vertices:
Co­Vertices:
Foci:
Jul 8­10:55 PM
Jul 8­10:55 PM
Find the vertices, co­vertices and the foci of the ellipse. Graph it.
The Hyperbola:
Vertices:
Co­Vertices:
Foci:
Hyperbolas
Jul 8­10:55 PM
Jul 9­6:36 PM
Hyperbola:
left & right
Hyperbola:
• a hyperbola is the set of all points in a plane such that the difference between the distances from a point on the graph to two fixed points is a given constant
Asymptotes:
difference of focal radii is • each of the fixed points is a focus
• if a point is on the hyperbola, then the distance between that point and the foci is the focal radii
• the two lines that the hyperbola approaches are the asymptotes of the hyperbola
Jul 9­6:47 PM
Jul 9­7:25 PM
1
Find the vertices, asymptotes, and foci. Graph it. Hyperbola:
up & down
Vertices:
Foci:
Asymptotes:
Asymptotes:
difference of focal radii is Jul 9­7:25 PM
Jul 9­8:10 PM
Find the vertices, asymptotes, and foci. Graph it. Vertices:
Foci:
Asymptotes:
Jul 9­8:10 PM
2