You can put this solution on YOUR website! center at (-2,3)with major axis of lenght 8 and parallel to the y-axis minor of lenght 2
I assume you want the equation of the conic based on given data. For future submissions, you should state what you want from the tutor.
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Standard form of equation for an ellipse with vertical major axis: , a>b, (h,k)=(x,y) coordinates of center
center: (-2,3)
length of vertical major axis=8=2a
a=4
a^2=16
length of minor axis=2=2b
b=1
b^2=1
Equation of given ellipse: