Exam 7: Analytic Geometry

Write the word or phrase that best completes each statement or answers the question. -A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center,how far from the center are the foci located?

Find the vertex, focus, and directrix of the parabola. Graph the equation. -

Find the asymptotes of the hyperbola. -

Find the center, foci, and vertices of the ellipse. -

Name the conic. -

Match the equation to the graph. -

Graph the ellipse and locate the foci. -

Find an equation for the ellipse described. -Foci at x-intercepts are

Solve the problem. -The orbit of a planet around a sun is an ellipse with the sun at one focus. The aphelion of a planet is itsgreatest distance from the sun, its perihelion is its shortest distance, and its mean distance is the length ofthe semimajor axis of the elliptical orbit. If a planet has a perihelion of 352.6 million miles and a meandistance of 355 million miles, write an equation for the orbit of the planet around the sun.

Find an equation for the ellipse described. -Vertices at (-6, 5)and (14, 5); focus at (12, 5)

Graph the hyperbola. -

Solve the problem. -A comet follows the hyperbolic path described by where x and y are in millions. If the sun is tfocus of the path, how close to the sun is the vertex of the path?

Find an equation of the parabola described. -Focus at (4, 0); vertex at (0, 0)

Match the equation to its graph. -

Find the vertex, focus, and directrix of the parabola. Graph the equation. -

Graph the function. -

Graph the equation. -

Find an equation for the ellipse described. -Center at (0, 0); focus at (0, 3); vertex at (0, -6)

Write the word or phrase that best completes each statement or answers the question. -A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strikethe surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 8 feetacross at its opening and is 2 feet deep at its center, at what position should the receiver be placed?

Find the center, foci, and vertices of the ellipse. -