System of Conics

Given the vertices and foci, find the equation of the ellipse.

• A

• B

• C

• D

Challenge! Write the equation of the circle through these 3 points.

• A

• B

• C

• D

Identify the vertices of this ellipse.

• A

• B

• C

• D

Which graph shows the conic?

• A

• B

• C

• D

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

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

Identify the solution to the system graphed here.

• (1, 5) and (-4, 0)

• (1, 5) and (-2, 0)

• (1, 5) and (0, -4)

• No solution

Identify the equations of the asymptotes of this hyperbola.

• A

• B

• C

• D

Find the equation of the hyperbola given these requirements.

• A

• B

• C

• D

Identify the focus of this parabola.

• A

• B

• C

• D