Conics

Find the ordered pair for the focus of the conic pictured.

• (5, 4)

• (3, 6)

• (1, 4)

• (3, 2)

Which conic is given by (x-4)² = 8(y - 3)?

• Hyperbola

• Ellipse

• Circle

• Parabola

Classify the conic section.

• Circle

• Ellipse

• Line

• None of these

Identify the conic:  
25x² + 5y² + 6x + 4y +2 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

Why are Conic Sections given this name?

• They are the cross-sections given when a cone is sliced.

• Because it's part of 'da rules'

• They are the cross-sections given when any 3D image is sliced.

Which of the following are true?

• A parabola has 2 foci.

• A circle's diameter is equal to it's radius squared

• A hyperbola uses a²+b²=c²

• An ellipse uses a²+b²=c²

• The distance from the center to a vertex along the transverse axis is 'a' in a hyperbola

Which conic's equation has only 1 squared term?

• Parabola

• Circle

• Ellipse

• Hyperbola

Which of the following statements are NOT true

• The minor axis of a vertical ellipse is vertical

• The transverse axis of a horizontal hyperbola is horizontal.

• Another name for the transverse axis of a hyperbola is the minor axis.

• If the equation of a circle is: x² + y² = 8, the diameter of the circle is 16.

• The parabola 12y = 6x² -30 opens up

What is the vertex of this quadratic equation?

y = 2(x - 2)² + 4

• (-2,4)

• (2,4)

• (4,-2)

• (-4,-2)

The focus is inside the parabola

• true

• false