91Ó°ÊÓ

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

In Exercises \(9-20,\) use point plotting to graph the plane curve described by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of \(t\). $$x=t^{2}+1, y=t^{3}-1 ;-\infty < t < \infty$$

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. $$6 x^{2}=30-5 y^{2}$$

In Exercises \(9-20,\) use point plotting to graph the plane curve described by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of \(t\). $$x=2 t, y=|t-1| ;-\infty < t < \infty$$

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

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. $$4 y^{2}-x^{2}=1$$

Use vertices and asymptotes to graph each hyperbola. Locate the foci and find the equations of the asymptotes. $$9 y^{2}-x^{2}=1$$

In Exercises \(9-20,\) use point plotting to graph the plane curve described by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of \(t\). $$x=|t+1|, y=t-2 ;-\infty < t < \infty$$

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