91Ó°ÊÓ

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. $$x=-(y-3)^{2}+4$$

graph each ellipse. $$(x-3)^{2}+9(y+2)^{2}=36$$

In Exercises \(23-28,\) graph each relation. Use the relation's graph to determine its domain and range. $$\frac{x^{2}}{25}-\frac{y^{2}}{4}=1$$

Solve each system by the addition method. $$\left\\{\begin{array}{l} 16 x^{2}-4 y^{2}-72=0 \\ x^{2}-y^{2}-3=0 \end{array}\right.$$

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. $$x^{2}+y^{2}+12 x-6 y-4=0$$

graph each ellipse. $$\frac{(x-4)^{2}}{9}+\frac{(y+2)^{2}}{25}=1$$

In Exercises \(23-28,\) graph each relation. Use the relation's graph to determine its domain and range. $$\frac{x^{2}}{9}+\frac{y^{2}}{16}=1$$

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. $$x^{2}-2 x+y^{2}-15=0$$

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. $$x=(y-4)^{2}+1$$

Solve each system by the addition method. $$\left\\{\begin{array}{l} x^{2}+y^{2}=25 \\ (x-8)^{2}+y^{2}=41 \end{array}\right.$$