# Is 4x^2+y^2+16x-6y+9=0 a parabola, a circle, an ellipse, or a hyperbola?

##### 1 Answer

May 11, 2018

An ellipse with vertical major axis.

#### Explanation:

Convert to standard form by completing the square:

Equation of an ellipse with vertical major axis in standard form:

Where:

So in this case:

Center is at

Major axis is along the y-axis and the length is: