My instructor writes this on our review sheet, "An ellipse with vertices (-7,2) and (1,2) passes through (-1,-1). Write the equation."
Since the vertices have y-coordinate 2, I know the major axis is horizontal. I use:
a^2 + b^2
So I find the center (-3,2)
I also find a= 4
So, how do I find b^2?(Speechless) My instructor did not provide the minor axis or "c."
So far I have:
(x+3)^2 + (y-2)^2 Thank You(Rofl), Kay
Since you are given the point (-1, -1) just plug in and solve:
Ok, so far it's correct.
There is just one thing to do :
(-1,-1) is on the ellipse... So replace x and y, and find b !