IDENTIFYING CONICS

A conic section is a curve obtained by intersecting a cone with a plane. The four types of conic sections are circles, ellipses, parabolas, and hyperbolas.

The general equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

The general equation of a parabola can be written as y = ax² + bx + c or x = ay² + by + c, depending on its orientation.

The general equation of an ellipse is (x - h)²/a² + (y - k)²/b² = 1, where (h, k) is the center, a is the semi-major axis, and b is the semi-minor axis.

The general equation of a hyperbola is (x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1, where (h, k) is the center.

Circle

Parabola

Parabola

Parabola

Circle