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Magazine Problem 54
Use a graphing calculator to graph each equation. (Hint: Solve for \(y\) and graph two functions.) See Using Your Calculator: $$ x^{2}+(y-2)^{2}=4 $$
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
Use a graphing calculator to graph each equation. (Hint: Solve for \(y\) and graph two functions.) See Using Your Calculator: $$ x=2 y^{2} $$
Problem 55
Graph the ellipses described by the equations in parts a and \(b\) on the same coordinate system. $$ \text { a. } \frac{(x-3)^{2}}{100}+\frac{(y-2)^{2}}{36}=1 \quad \text { b. } \frac{(x+3)^{2}}{100}+\frac{(y+2)^{2}}{36}=1 $$
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 56
Use a graphing calculator to graph each equation. (Hint: Solve for \(y\) and graph two functions when necessary.) $$ x=y^{2}-4 $$
Problem 56
Graph the ellipses described by the equations in parts a and \(b\) on the same coordinate system. $$ \text { a. } \frac{(x-4)^{2}}{9}+\frac{(y+5)^{2}}{4}=1 \quad \text { b. } \frac{(x+4)^{2}}{9}+\frac{(y-5)^{2}}{4}=1 $$
Problem 56
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. $$ y=x^{2}-2 x+5 $$
Problem 56
Solve each system of equations for real values of x and y. $$ \left\\{\begin{array}{l} y=x+1 \\ x^{2}-y^{2}=1 \end{array}\right. $$
