Conic Sections: Parabolas — Test Answers

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

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

Yung is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by , where x and y are measured in inches. What is the focus point of the flashlight?

The angle between the generator and the central axis of a double-napped cone is 60°. A plane intersecting the cone makes an angle of 50° with the central axis. Which conic section is formed?

Mariah converted the following equation into standard form.25x2 + 25y2 – 200x + 100y + 4 = 025x2 – 200x + 25y2 + 100y = –425(x2 – 8x) + 25(y2 + 4y) = –425(x2 – 8x + 16) + 25(y2 + 4y + 4) = –4 + 16 + 425(x – 4)2 + 25(y + 2)2 = 16