Given that the semi-major axis is 2 units and the center of the ellipse is at the origin, the distance from the center to the point (2, 0) is indeed 2 units. So, the length of the semi-major axis should be 2 units.
With this correction, the equation of the ellipse becomes:
[tex]
\frac{x^2}{2^2} + \frac{y^2}{3^2} = 1 [/tex]
Simplified:
[tex]\frac{x^2}{4} + \frac{y^2}{9} = 1 [/tex]
The function representing the ellipse is:
[tex]f(x) = \pm \sqrt{9 - \frac{9x^2}{4}} [/tex]
Please note that the + and - shall be used for the graf so the ellipse should be accurate.
