Thread: Graph the ellipse and graph the hyperbola

Please help me solve the following ellipse problem:

Graph the ellipse. 16x^2+4y^2=48

what is the center?
Where are the vertices?
Where are the co-vertices?
Where are the foci?




Graph the hyperbola. 16y^2-4x^2=64
What is the center?
What are the vertices?
Where are the co-vertices?
Where are the foci?
What are the asymptotes?

Originally Posted by smartcp

Graph the ellipse. 16x^2+4y^2=48

what is the center?
Where are the vertices?
Where are the co-vertices?
Where are the foci?

Most folks resort to a Standard Form, usually this one



Using standard notation:

This makes , and

Find 'c' and you nearly are done.

Note: If you REALLY cannot find the center of this one, you MUST go back and reread a section or two. You missed something very important.

Originally Posted by smartcp

Please help me solve the following ellipse problem:

Graph the ellipse. 16x^2+4y^2=48

what is the center?
Where are the vertices?
Where are the co-vertices?
Where are the foci?




Graph the hyperbola. 16y^2-4x^2=64
What is the center?
What are the vertices?
Where are the co-vertices?
Where are the foci?
What are the asymptotes?

Graph of Ellipse:


I'll let you figure out the rest.

Graph of Hyperbola:



Try to figure out the rest.

Originally Posted by smartcp

Please help me solve the following ellipse problem:

Graph the ellipse. 16x^2+4y^2=48

what is the center?
Where are the vertices?
Where are the co-vertices?
Where are the foci?




Graph the hyperbola. 16y^2-4x^2=64
What is the center?
What are the vertices?
Where are the co-vertices?
Where are the foci?
What are the asymptotes?

1.)




2.)




Standard form:
Vertices:
Co-vertices:
Eccentricity:
Foci: