Conic Sections

Question 1

Consider the equation y = (x + 2)2 – 3. What is the length of the focal width of the parabola?

Revolt · Accepted Answer

A: 1 unit

Question 2

A plane intersecting a double-napped cone is perpendicular to the central axis. Which conic section is formed?

Revolt · Accepted Answer

A: circle

Question 3

Review the graph of circle A.

Revolt · Accepted Answer

D: (x + 2)2 + y2 = 25

Question 4

The diameter of a circle has endpoints (–3, –10) and (4, –6). What is the equation of the circle?

Revolt · Accepted Answer

B: (x minus one-half) squared + (y + 8) squared = StartFraction 65 Over 4 EndFraction

Question 5

The angle between the generator and the central axis of a double-napped cone is 50°. Which conic section is formed when a plane intersects the central axis at 50°?

Revolt · Accepted Answer

C: parabola

Question 6

Which graph represents the equation (x – 3)2 + y2 = 16?

Revolt · Accepted Answer

C: On a coordinate plane, a circle has a center at (3, 0) and radius 4.

Question 7

The equation (x + 1) = (y – 5)2 is represented by which graph?

Revolt · Accepted Answer

D: On a coordinate plane, a parabola opens to the left. It goes through (negative 9, 7), has a vertex at (negative 1, 5), and goes through (negative 9, 3).

Question 8

The center of a circle is 5 units below the origin, and the radius is 10 units. What is the equation of this circle?

Revolt · Accepted Answer

C: x2 + (y + 5)2 = 100

Question 9

Review the graph of circle A.

Revolt · Accepted Answer

C: (x – 4)2 + (y + 5)2 = 36

Question 10

A parabola has the focus at (4, 6) and the directrix y = –6. Which equation represents this parabola?

Revolt · Accepted Answer

A: (x – 4)2 = 24y

Conic Sections Answers

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