91Ó°ÊÓ

In Exercises \(5-18,\) use vertices and asymptotes to graph each hyperbola. $$25 y^{2}=225+9 x^{2}$$

In Exercises \(19-26,\) complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}+6 x+2 y+6=0$$

Use the vertex and intercepts to sketch the graph of each equation. If needed, find additional points on the parabola by choosing values of y on each side of the axis of symmetry. $$x=(y-2)^{2}-4$$

Solve each system by the addition method. $$\left\\{\begin{array}{l} x^{2}+y^{2}=13 \\ x^{2}-y^{2}=5 \end{array}\right.$$

Use the vertex and intercepts to sketch the graph of each equation. If needed, find additional points on the parabola by choosing values of y on each side of the axis of symmetry. $$x=(y-3)^{2}-4$$

In Exercises \(19-26,\) complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}+8 x+4 y+16=0$$

Solve each system by the addition method. $$\left\\{\begin{array}{l} 4 x^{2}-y^{2}=4 \\ 4 x^{2}+y^{2}=4 \end{array}\right.$$

In Exercises \(19-26,\) complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}-10 x-6 y-30=0$$

Use the vertex and intercepts to sketch the graph of each equation. If needed, find additional points on the parabola by choosing values of y on each side of the axis of symmetry. $$x=(y-3)^{2}-5$$

graph each ellipse. $$\frac{(x-2)^{2}}{9}+\frac{(y-1)^{2}}{4}=1$$