The conic equation
.
The coefficients of
and
are the same sign and equal,So the equation is circle.
Standard form of circle is
,
Where center is and radius is
and
is radius.
Convert the circle equation into standard form of circle.
\



Compare it to standard form of circle.
\Center
and radius
.
Find four points " radius away from the center in the up, down, left and
\right direction".
\Up 
Down 
Left 
Right 
Graph:
\Draw the coordinate plane.
\Plot the center at
.
Plot the four points " radius away from the center in the up, down, left and
\right direction".
\Graph the circle
.
The conic represents a circle.
\Center of the circle is
.
Radius of the circle is
units.
Graph the circle
.