IDENTIFYING CONICS

Front

What is a conic section?

Back

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.

Tags

CCSS.7.G.A.3

Front

What is the general equation of a circle?

Back

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.

Tags

CCSS.HSG.GPE.A.1

Front

What is the general equation of a parabola?

Back

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

Front

What is the general equation of an ellipse?

Back

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.

Tags

CCSS.HSG.GPE.A.1

Front

What is the general equation of a hyperbola?

Back

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.

Front

Identify the conic section: 2x² + 2y² + 12x + 12y = 4

Back

Circle

Front

Identify the conic section: 5y² + 2x - 30y = -49

Back

Parabola

Front

Identify the conic section: 3x² + 6x + 4y = 18

Back

Parabola

Front

Identify the conic section: 2y² - 5x - 12y = 17

Back

Parabola

Front

Identify the conic section: 3x² + 3y² + 42x - 12y = -154

Back

Circle