Conics Review

Front

What is the center of the circle in the equation (x-3)²+(y-2)²=16?

Back

(3,2)

Tags

CCSS.HSG.GPE.A.1

Front

What is the standard form of a circle's equation?

Back

(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 radius of the circle in the equation (x+2)²+(y-3)²=4?

Back

2

Tags

CCSS.HSG.GPE.A.1

Front

What is the standard equation of an ellipse?

Back

(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 are the vertices of the hyperbola defined by the equation (x+4)²/16 - (y-0)²/9 = 1?

Back

(-4, 3) and (-4, -3)

Front

What does the term 'conic sections' refer to?

Back

Shapes created by intersecting a plane with a double-napped cone, including circles, ellipses, parabolas, and hyperbolas.

Tags

CCSS.7.G.A.3

Front

How do you find the distance between the foci of a hyperbola?

Back

The distance is 2c, where c = √(a² + b²).

Front

What is the general form of a parabola's equation?

Back

y = ax² + bx + c, where a determines the direction and width of the parabola.

Front

What is the definition of a focus in conics?

Back

A fixed point used to define and construct a conic section.

Tags

CCSS.HSG.GPE.A.1

Front

What is the difference between a major axis and a minor axis in an ellipse?

Back

The major axis is the longest diameter, while the minor axis is the shortest diameter.