Chapter 7

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{16}+\frac{y^{2}}{4}=1 $$

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 $$

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{9}+\frac{y^{2}}{36}=1 $$

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{16}+\frac{y^{2}}{49}=1 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$y^{2}=16 x$$

Find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: \((0,-3),(0,3) ;\) vertices: \((0,-1),(0,1)\)

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{25}+\frac{y^{2}}{64}=1 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$y^{2}=4 x$$

Find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: \((0,-6),(0,6) ;\) vertices: \((0,-2),(0,2)\) Foci: \((-4,0),(4,0) ;\) vertices: \((-3,0),(3,0)\)

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{49}+\frac{y^{2}}{36}=1 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$y^{2}=-8 x$$

Find the standard form of the equation of each hyperbola satisfying the given conditions. Foci: \((-7,0),(7,0) ;\) vertices: \((-5,0),(5,0)\) Endpoints of transverse axis: \((0,-6),(0,6) ;\) asymptote: \(y-2 x\)

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{49}+\frac{y^{2}}{81}=1 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$y^{2}=-12 x$$

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{64}+\frac{y^{2}}{100}=1 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$x^{2}=12 y$$

Find the standard form of the equation of each hyperbola satisfying the given conditions. Center: \((4,-2) ;\) Focus: \((7,-2) ;\) vertex: \((6,-2)\) Center: \((-2,1) ;\) Focus: \((-2,6) ;\) vertex: \((-2,4)\)

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{4}+\frac{y^{2}}{\frac{25}{4}}=1 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$x^{2}=8 y$$

Find the standard form of the equation of each hyperbola satisfying the given conditions Endpoints of transverse axis: \((-4,0),(4,0) ;\) asymptote: \(y-2 x\)

Graph each ellipse and locate the foci. $$ \frac{x^{2}}{4 !}+\frac{y^{2}}{\frac{25}{16}}=1 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$x^{2}=-16 y$$

Find the standard form of the equation of each hyperbola satisfying the given conditions Center: \((4,-2) ;\) Focus: \((7,-2) ;\) vertex: \((6,-2)\)

Graph each ellipse and locate the foci. $$ x^{2}=1-4 y^{2} $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$x^{2}=-20 y$$

Find the standard form of the equation of each hyperbola satisfying the given conditions Center: \((-2,1) ;\) Focus: \((-2,6) ;\) vertex: \((-2,4)\)

Graph each ellipse and locate the foci. $$ y^{2}=1-4 x^{2} $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$y^{2}-6 x=0$$

Graph each ellipse and locate the foci. $$ 25 x^{2}+4 y^{2}=100 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$x^{2}-6 y=0$$

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. \(\frac{x^{2}}{16}-\frac{y^{2}}{25}-1\)

Graph each ellipse and locate the foci. $$ 9 x^{2}+4 y^{2}=36 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$8 x^{2}+4 y=0$$

Graph each ellipse and locate the foci. $$ 4 x^{2}+16 y^{2}=64 $$

Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $$8 y^{2}+4 x=0$$

Graph each ellipse and locate the foci. $$4 x^{2}+25 y^{2}=100$$

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((7,0) ;\) Directrix: \(x=-7\)

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((9,0) ;\) Directrix: \(x=-9\)

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. \(\frac{y^{2}}{25}-\frac{x^{2}}{64}-1\)

Graph each ellipse and locate the foci. $$6 x^{2}=30-5 y^{2}$$

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((-5,0) ;\) Directrix: \(x=5\)

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((-10,0) ;\) Directrix: \(x=10\)

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((0,15) ;\) Directrix: \(y=-15\)

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((0,20) ;\) Directrix: \(y=-20\)

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((0,-25) ;\) Directrix: \(y=25\)

Find the standard form of the equation of each parabola satisfying the given conditions. Focus: \((0,-15) ;\) Directrix: \(y=15\)

Find the standard form of the equation of each parabola satisfying the given conditions. Vertex: \((2,-3) ;\) Focus: \((2,-5)\)

Find the standard form of the equation of each ellipse satisfying the given conditions. $$\text { Foci: }(-5,0),(5,0) ; \text { vertices: }(-8,0),(8,0)$$

Find the standard form of the equation of each parabola satisfying the given conditions. Vertex: \((5,-2) ;\) Focus: \((7,-2)\)

Find the standard form of the equation of each ellipse satisfying the given conditions. $$\text { Foci: }(-2,0),(2,0) ; \text { vertices: }(-6,0),(6,0)$$