21. Conic Sections and Systems of Nonlinear Equations

Indicate whether the graph of each equation is a circle, an ellipse, a hyperbola, or a parabola.

$4x^2-9y^2=36$

Indicate whether the graph of each equation is a circle, an ellipse, a hyperbola, or a parabola.

$5x^2+5y^2=180$

Identify whether the equation is of an ellipse or hyperbola.

$y^2-\frac{x^2}{16}=1$

Indicate whether the graph of each equation is a circle, an ellipse, a hyperbola, or a parabola.

$\frac{x^2}{100}+y^2=1$

Identify whether the equation is of an ellipse or hyperbola.

$\frac{x^2}{16}+\frac{y^2}{9}=1$

Identify whether the equation is of an ellipse or hyperbola.

$\frac{x^2}{4}-\frac{y^2}{9}=1$

Determine if the transverse axis is horizontal or vertical for the following hyperbolas.

$\frac{y^2}{9}-\frac{x^2}{9}=1$

Determine if the transverse axis is horizontal or vertical for the following hyperbolas.

$3x^2-y^2=18$

Determine if the transverse axis is horizontal or vertical for the following hyperbolas.

$\frac{x^2}{12}-\frac{y^2}{16}=1$