Classifying Conic Sections from Equations

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

Which equation shows an ellipse?

• Circle

• Parabola

• Ellipse

• Hyperbola

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -2, -4), (-2, 8)
Length of minor axis is 10
What is the center of the ellipse?

• ( - 2, 2)

• (- 2, 4)

• (2, -2)

• (-2, 1)

How WIDE will this parabola be?

• 12

• 3

• (2,3)

• 24

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)