Algebra 2 Conic Sections

When the cutting plane intersects the two cones parallel to their vertical axes and perpendicular to their bases, then the conic section is a _______________.

• Parabola

• Circle

• Hyperbola

• Ellipse

Conics are special curves and are classified into four types. What are those?

• Ellipse

• Cone

• Parabola

• Hyperbola

• Circle

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Given the following, write the equation of the ellipse.

• A

• B

• C

• D

Given this directrix and vertex, what would the equation of the parabola be?

• (y-2)² = 12(x-1)

• (y-2)² = 6(x-1)

• (x-1)² = 12(y-2)

• (x-1)² = 6(y-2)

Put the ellipse in standard form

• A

• B

• C

• D

Given the equation of the ellipse and the C value, write the foci ordered pair

• (4 ± 7.42, -2)

• (4, - 2 ± 7.42)

• (- 4 ± 7.42, 2)

• ( - 4, 2 ± 7.42)

What is the directrix of the parabola
(x - 4)² = 8(y + 3)?

• y = - 3

• x= 5

• y= - 5

• y= 2

What is the focus of the following parabola?
(y + 5)² = -12 (x - 2)

• (2, - 5)

• ( -5, 2)

• (1 , -5 )

• (-1, -5 )

When the x-part is squared, the parabola opens up or down.

• True

• False