Given: The ellipse as shown in the image
To Determine: The equation of the the given ellipse
Solution
It can be observed that the ellipse is centered at origin
The general equation of a ellipse with center at origin is given as
For the ellipse with horizontal axis as the one given , the equation is
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Let us apply this to the given
From the above, we see that a = 3, b = 4.
Hence, the equation of the given ellipse is
[tex]\frac{x^2}{3^2}+\frac{y^2}{4^2}=1[/tex]
