Hey bot , identify the type of conic section that has the equation 9x^2 +16y^2=144 and identify its domain and range

1 answer

The given equation is a standard form equation of an ellipse. The center of the ellipse is at the origin, and the major axis is along the x-axis and the minor axis is along the y-axis.

The equation can be rewritten as:

(x^2)/4 + (y^2)/9 = 1

The domain of the ellipse is [-2, 2] (inclusive) along the x-axis, and the range of the ellipse is [-3, 3] (inclusive) along the y-axis.