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Magazine Problem 53
Use a graphing calculator to graph each equation. $$ (x+1)^{2}+y^{2}=16 $$
Problem 53
Write each equation in standard form, if it is not already so, and graph it. The problems include equations that describe circles, parabolas, ellipses, and hyperbolas. $$ \frac{y^{2}}{25}-\frac{(x-2)^{2}}{4}=1 $$
Problem 53
Solve each system of equations for real values of \(x\) and \(y.\) $$ \left\\{\begin{array}{l} x^{2}-2 y^{2}=6 \\ x^{2}+2 y^{2}=2 \end{array}\right. $$
Problem 54
Solve each system of equations for real values of \(x\) and \(y.\) $$ \left\\{\begin{array}{l} x^{2}+9 y^{2}=1 \\ x^{2}-9 y^{2}=3 \end{array}\right. $$
Problem 54
Graph the ellipses described by the equations in parts a and b on the same coordinate system. a. \(\frac{x^{2}}{169}+\frac{y^{2}}{25}=1 \quad\) b. \(\frac{x^{2}}{25}+\frac{y^{2}}{169}=1\)
Problem 54
Use a graphing calculator to graph each equation. $$ x^{2}+(y-2)^{2}=4 $$
Problem 54
Write each equation in standard form, if it is not already so, and graph it. The problems include equations that describe circles, parabolas, ellipses, and hyperbolas. $$ \frac{y^{2}}{36}-\frac{(x+2)^{2}}{4}=1 $$
Problem 55
Solve each system of equations for real values of \(x\) and \(y.\) $$ \left\\{\begin{array}{l} y=x^{2}-4 \\ 6 x-y=13 \end{array}\right. $$
Problem 55
Write each equation in standard form, if it is not already so, and graph it. The problems include equations that describe circles, parabolas, ellipses, and hyperbolas. $$ y=-x^{2}+6 x-4 $$
Problem 55
Use a graphing calculator to graph each equation. $$ x=2 y^{2} $$
