91Ó°ÊÓ

Write each equation in standard form, if it is not already so, and graph it. The problems include equations that describe circles, parabolas, and ellipses. \((x+1)^{2}+(y-2)^{2}=16\)

Write each equation of a circle in standard form and graph it. Give the coordinates of its center and give the radius. $$ x^{2}+y^{2}+4 x+2 y=4 $$

Solve each system of equations by elimination for real values of \(x\) and \(y .\) See Example 4 $$ \left\\{\begin{array}{l} x^{2}-y^{2}=-5 \\ 3 x^{2}+2 y^{2}=30 \end{array}\right. $$

Solve each system of equations by elimination for real values of \(x\) and \(y .\) See Example 4 $$ \left\\{\begin{array}{l} 6 x^{2}+8 y^{2}=182 \\ 8 x^{2}-3 y^{2}=24 \end{array}\right. $$

Write each equation of a circle in standard form and graph it. Give the coordinates of its center and give the radius. $$ x^{2}+y^{2}+8 x+2 y=-13 $$

Use a graphing calculator to graph each equation. See Using Your Calculator: Graphing Hyperbolas. $$y^{2}-16 x^{2}=16$$

Write each equation in standard form, if it is not already so, and graph it. The problems include equations that describe circles, parabolas, and ellipses. \((x-3)^{2}+(y+1)^{2}=25\)

Write each equation of a parabola in standard form and graph it. Give the coordinates of the vertex. $$ y=2 x^{2}-4 x+5 $$

Write each equation in standard form, if it is not already so, and graph it. The problems include equations that describe circles, parabolas, and ellipses. \(\frac{x^{2}}{16}+\frac{y^{2}}{1}=1\)

Solve each system. See Using Your Calculator: Solving Systems of Equations. $$ \left\\{\begin{array}{l} x^{2}-6 x-y=-5 \\ x^{2}-6 x+y=-5 \end{array}\right. $$