Find the standard form of the equation for the ellipse with

Find the standard form of the equation for the ellipse with foci left parenthesis 0 comma plus or minus 1 right parenthesis(0,±1), and vertex left parenthesis 0 comma 2 right parenthesis(0,2). Graph the equation.

Solution

this ellipse is of the form

(x-h)^2/b^2 +(y-k)^2/a^2=1

Here c= 1 and a= 2

Therefore b^2=a^2-c^2= 2-1=3

x^2/3 + y^2/4=1