Help with this Algebra 2 question!!!

Question

Question #7: Write a conic equation in standard form for each of the following descriptions.
A: An ellipse centered at (-2,3) with a major vertical axis 14 units long and a minor axis 6 units long.

Answer 1

The general equation of an ellipse is given by: 

 

[(x-h)^2]/a^2 + [(y-k)^2]/b^2 = 1

 

where it is centered around the point (h,k), the radius along the x-axis is a, the radius along the y-axis is b. 

In your case,

 

a =6/2= 3

b  = 14/2 = 7

h = -2 

k = 3

 

[(x+2)^2]/3^2 + [(y-3)^2]/7^2 = 1