MATH HOMEWORK

10.1\ Find the vertex, focus, and directrix of the parable. Sketch its graph, showing the focus and the directrix.

4)

8)

12)

Find an equation for the parabola shown in the figure.

16)

Find an equation for the parabola that satisfies the given conditions.

24) Focus F (-3,-2) , directrix y =1

10.2\ Find the vertices and foci of the ellipse. Sketch its graph, showing the foci.

6)

12)

Find an equation for the ellipse shown in the figure.

18)

Find an equation for the ellipse that has its center at the origin and satisfies the given conditions.

20) Vertices V

24) Foci F (0 , minor axis of length 4 .

10.3\ Find the vertices, the foci, and the equations of the asymptotes of the hyperbola. Sketch its graph, showing the asymptotes and the foci.

6)= 1

14)

Find an equation for the hyperbola shown in the figure.

Find an equation for the hyperbola that has its center at the origin and satisfies the given conditions.

26) Foci F (,0) , conjugate axis of length 8.