Parabolas and Ellipses

Parabolas and Ellipses Name ________________________

Extra Practice Per. _____

1. Find the vertex, axis of symmetry, focus, and directrix of each parabola. Sketch the graph.

a. b.

c. d.

2. Write in standard form the equation of each parabola.

a. Focus (-4,-1), vertex (-4,1) b. Focus (3,-2), directrix

c. Focus (-2,5), focal width=20; opens left

3. Find the center, vertices, foci and length of the major and minor axis of each ellipse. Sketch the graph.

a. b.

c. d.

4. Write in standard form the equation of each ellipse.

a. Foci , vertices

b. Center (-5,7), a = 5, b = 2, major axis vertical

c. Center (3,4), a = , b = , minor axis vertical

d. Foci , length of major axis = 6

Parabolas and Ellipses Name ________________________

Extra Practice Per. _____

1. Find the vertex, axis of symmetry, focus, and directrix of each parabola. Sketch the graph.

a. b.

c. d.

2. Write in standard form the equation of each parabola.

a. Focus (-4,-1), vertex (-4,1) b. Focus (3,-2), directrix

c. Focus (-2,5), focal width=20; opens left

3. Find the center, vertices, foci and length of the major and minor axis of each ellipse. Sketch the graph.

a. b.

c. d.

4. Write in standard form the equation of each ellipse.

a. Foci , vertices

b. Center (-5,7), a = 5, b = 2, major axis vertical

c. Center (3,4), a = , b = , minor axis vertical

d. Foci , length of major axis = 6