91Ó°ÊÓ

For the following exercises, graph the parabola, labeling the focus and the directrix. \(x=\frac{1}{8} y^{2}\)

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. \(r=\frac{5}{2+\cos \theta}\)

For the following exercises, sketch a graph of the hyperbola, labeling vertices and foci. \(\frac{x^{2}}{49}-\frac{y^{2}}{16}=1\)

For the following exercises, find the foci for the given ellipses. \(10 x^{2}+y^{2}+200 x=0\)

For the following exercises, graph the given ellipses, noting center, vertices, and foci. \(\frac{x^{2}}{25}+\frac{y^{2}}{36}=1\)

For the following exercises, graph the parabola, labeling the focus and the directrix. \(y=36 x^{2}\)

For the following exercises, sketch a graph of the hyperbola, labeling vertices and foci. \(\frac{x^{2}}{64}-\frac{y^{2}}{4}=1\)

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. \(r=\frac{2}{3+3 \sin \theta}\)

For the following exercises, graph the given ellipses, noting center, vertices, and foci. \(\frac{x^{2}}{16}+\frac{y^{2}}{9}=1\)

For the following exercises, sketch a graph of the hyperbola, labeling vertices and foci. \(\frac{y^{2}}{9}-\frac{x^{2}}{25}=1\)