Hello, cutie!
Sorry, I have to ask this: Do you know anything about ellipses?
The general equation of al ellipse is: $\displaystyle \frac{(x  h)^2}{a^2} + \frac{yk)^2}{b^2}\;=\;1$
. . where $\displaystyle (h,k)$ is the center of the ellipse
. . and $\displaystyle a$ and $\displaystyle b$ are the "xradius" and "yradius", respectively.
You have to locate the center, then find $\displaystyle a$ ("half the width")
and $\displaystyle b$ ("half the height") . . . and drop them into the formula.
Write equation for ellipse that satisfies each set of conditions:
the endpoints of major axis at (3,2) & (3,14),
endpoints of minor axis at (1,6) & (7, 6).
I don't suppose you tried to make a sketch . . . Code:

 (3,2)
 *
+:
0 :
 :
 :
(1,6) * +   o    * (7,6)
 :
 :
 :
 :
 *
 3,14)
Can you see that the center is at $\displaystyle (3,6)$ . . . and that $\displaystyle a = 4,\;b = 8$?