Ellipse help

[calc]

I need to find the equation for an ellipse. The vertices are at (0,2) and (4,2). The minor axis length is 2. Thanks to anyone that will help.

 

[stapel]

From the verices, you can find the center. And the minor-axis length gives you the value of one of "a" and "b". I think more information is needed (such as a point on the graph) in order to get the complete equation, but you should at least be able to get started.

Please reply showing your work and reasoning so far. Thank you.

Eliz.

 

[calc]

Ok, I have figured out the center is (3,1). Using the equations, this is what I have:
(y-1)^2/a^2+(x-3)^2/1^2=?
What do I do after this?

 

[stapel]

Ok, I have figured out the center is (3,1).

How did you arrive that (3, 1) being the midpoint between (0, 2) and (4, 2)?

Please reply showing all of your steps. Thank you.

Eliz.

 

[calc]

Sorry, midpoint is (2,2). Don't know what I was thinking

 

[stapel]

What do I do after this?

This was where I suggested that further information may be necessary.

Eliz.

 

[calc]

Ok, I have figured it out. I didn't think to look in my book because it hasn't been used for this chapter, just worksheets and notes .
Now, I need help with something else. How do I figure out the vertices when all I know is that the center is at (2, -1) and that the vertex (2, 0.5). The minor axis length is 2.