Hello Reese,
As you correctly pointed out, the center is 2 units away (in the VERTICAL direction) from either vertex
To find b, you would answer the question "How far is the center from one of endpoints on the minor axis?
The answer would give you b and you would now be able to write the complete ellipse equation.
Hope that helps.
Cheers!
Patrick T.
tutor
I am confused by your question. You're asking about an equation to find what, exactly?
Report
11/21/21
Reese L.
I am supposed to write an equation for the ellipse, Bu I am given the center and the vertices, however, I cannot write the equation if I do not have the value of b I cannot find the equation, so how do I find the answer to b?
Report
11/21/21
Patrick T.
tutor
I explained how to find b but let me try again...
when you look at your graph: what is the distance between the center of the ellipse and ANY of the endpoints on the MINOR axis?
Report
11/21/21
Reese L.
the minor axis points are (0,2) and (0,0)
Report
11/21/21
Patrick T.
tutor
So I did a quick drawing.
Given the center (-1,-1), vertices at (-1,1) and (-1,-3), the minor axis points being at (0,0) and (0,2) seems inaccurate.
Report
11/21/21
Reese L.
I am so sorry I was looking at the wrong problem for my minor axis, the minor axis (0,-1) which is the only exact point for the minor axis, but b=1 I have figured out
Report
11/21/21
Reese L.
what equation would I use to find it?11/21/21