91Ó°ÊÓ

Graph the given conic section. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse, label the vertices and foci. If it is a hyperbola, label the vertices and foci. $$ r=\frac{3}{4-4 \cos \theta} $$

For the following exercises, find the foci for the given ellipses. $$ \frac{(x-2)^{2}}{64}+\frac{(y-4)^{2}}{16}=1 $$

For the following exercises, graph the given ellipses, noting center, vertices, and foci. $$ \frac{(x-2)^{2}}{64}+\frac{(y-4)^{2}}{16}=1 $$

For the following exercises, graph the given conic section. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse, label the vertices and foci. If it is a hyperbola, label the vertices and foci. $$ r=\frac{3}{4-4 \cos \theta} $$

Sketch a graph of the hyperbola, labeling vertices and foci. \(\frac{(x-2)^{2}}{8}-\frac{(y+3)^{2}}{27}=1\)

For the following exercises, graph the parabola, labeling the focus and the directrix $$ -5(x+5)^{2}=4(y+5) $$

For the following exercises, graph the parabola, labeling the focus and the directrix $$ -6(y+5)^{2}=4(x-4) $$

For the following exercises, find the foci for the given ellipses. $$ \frac{(x+3)^{2}}{9}+\frac{(y-3)^{2}}{9}=1 $$

For the following exercises, graph the given ellipses, noting center, vertices, and foci. $$ \frac{(x+3)^{2}}{9}+\frac{(y-3)^{2}}{9}=1 $$

Graph the given conic section. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse, label the vertices and foci. If it is a hyperbola, label the vertices and foci. $$ r=\frac{2}{1-\sin \theta} $$