91Ó°ÊÓ

For the following exercises, graph the parabola, labeling the focus and the directrix. \(y=\frac{1}{36} x^{2}\)

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. \(r=\frac{10}{5-4 \sin \theta}\)

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. \(r=\frac{3}{1+2 \cos \theta}\)

For the following exercises, graph the parabola, labeling the focus and the directrix. \(y=-9 x^{2}\)

For the following exercises, sketch a graph of the hyperbola, labeling vertices and foci. \(81 x^{2}-9 y^{2}=1\)

For the following exercises, graph the given ellipses, noting center, vertices, and foci. \(4 x^{2}+9 y^{2}=1\)

For the following exercises, sketch a graph of the hyperbola, labeling vertices and foci. \(\frac{(y+5)^{2}}{9}-\frac{(x-4)^{2}}{25}=1\)

For the following exercises, graph the given ellipses, noting center, vertices, and foci. \(81 x^{2}+49 y^{2}=1\)

For the following exercises, graph the parabola, labeling the focus and the directrix. \((y-2)^{2}=-\frac{4}{3}(x+2)\)

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. \(r=\frac{8}{4-5 \quad \cos \theta}\)