8. Conic Sections

Sketch a graph of the circle based on the following equation: $x^2+{(y-1)}^2=9$

Sketch a graph of the circle based on the following equation: ${(x-2)}^2+{(y+3)}^2=1$

Find the equation for the following circle:

Determine if the equation $x^2+y^2-2x+4y-4=0$ is a circle, and if it is, find its center and radius.

Determine if the equation $x^3+y^2+4x-8y+4=0$ is a circle, and if it is, find its center and radius.

Without actually graphing, identify the type of graph that each equation has.

$x^2+y^2=144$

Without actually graphing, identify the type of graph that each equation has.

$\frac{\left(x+3\right)^2}{16}+\frac{\left(y-2\right)^2}{16}=1$

Identify and sketch the graph of each relation.

$3x^2+6x+3y^2-12y=12$