Question 853419
The ellipse graphed below has its center at (-14, -10), its horizontal axis is of length 12, and its vertical axis is of length 16. What is its equation?
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Given data shows ellipse has a vertical major axis.
Its standard form of equation: {{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b, (h,k)=coordinates of center
center: (-14, -10)
length of vertical major axis=16=2a
a=8
a^2=64
length of horizontal minor axis=12=2b
b=6
b^2=36
Equation:  {{{(x+14)^2/36+(y+10)^2/64=1}}}