Answer: Option C. Ellipse
Step-by-step explanation:
The general equation of an ellipse has the following form:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} =1[/tex]
Where the point (h, k) is the center of the ellipse
In this case we have the equation
[tex]\frac{(x-9)^2}{4} + \frac{(y+2)^2}{25} =1[/tex]
Note that its shape matches that of a ellipse with center (9, -2)
[tex]a=\sqrt{4} \\a=2\\\\\\b=\sqrt{25}\\b=5[/tex]
Therefore the answer is the obtion C
