Question

does anybody know how to write this ellipse in standard form. They give you the foci (1,0) & (1,4) and a major axis of length 6

Answer 1

it really does take a bit for this information ....

Answer 2

a drawing helps

Answer 3

if we go ahead and center this at the origin, we can move it back later

a length of 6 would amount to it crossing at (0,+- 3)
\[\frac{x^2}{}+\frac{y^2}{3^2}=1\]
the other parts needs to be worked as a triangle