91Ó°ÊÓ

(a) Write the equation in standard form and (b) graph$9x^2-16y^2+18x+64y-199=0$

(a) Write the equation in standard form and (b) graph$16x^2-25y^2+96x-50y-281=0$

Identify the graph of each equation as a circle, parabola, ellipse, or hyperbola

$$\begin{gathered} a)x^2+y^2-8x-6y=0 \\ b)4x^2+25y^2=100 \\ c)y=6x^2+2x-1 \\ d)16y^2-9x^2=144 \end{gathered}$$

Identify the graph of each equation as a circle, parabola, ellipse, or hyperbola.

$$\begin{gathered} a)16x^2+9y^2=144 \\ b)y=2x^2+4x+6 \\ c)x^2+y^2+2x+6y+9=0 \\ d)4x^2-16y^2=64 \end{gathered}$$

Solve the system by graphing

$$\begin{gathered} x+y=4 \\ y=x^2+2 \end{gathered}$$

Solve the system by graphing

$$\begin{gathered} x-y=-1 \\ y=-x^2+3 \end{gathered}$$

Solve the system by graphing,

Solve the equation by graphing,

$$\begin{gathered} y=4 \\ {(x-2)}^2+{(y+3)}^2=4 \end{gathered}$$

Solve the system by using substitution:

$\left\{\begin{array}{l}{x}^2+9y^2=9\\ y=\frac{1}{3}x-3\end{array}\right.$

In the following exercises, graph each ellipse.

$\frac{{\left(x+4\right)}^2}{4}+\frac{{\left(y-2\right)}^2}{9}=1$