Question

the angle of rotation, θ, is a(n) options: double, acute, obtuse, negative angle used to rotate the xy-coordinate plane to a new xy-plane for graphing a rotated conic section.

Explanation:

When rotating the coordinate plane to graph a rotated conic section, the angle of rotation \(\theta\) is typically an acute angle (between \(0\) and \(90^\circ\)) because we choose the smallest positive angle to simplify the rotation process, and acute angles fit this requirement better than double, obtuse, or negative angles for this standard conic rotation context.

Answer:

acute