Solve the circle equation for
.
.
Plot the center
and
.
plot the points obtained in the table.
Connect those points with smooth curve.
Graph the circle
.
Graph of the circle
:

Equation of circle:
7) Graph the circle with center at (3, -2), which also passes through the point (0, 2). Label the center and at least
four points on the circle. Write the equation of the circle.
The center of the cirle is
The circle passes through the point is
The distance from center to any point on the circle is its radius.
.
The radius of the circle is
The standard form of circle equation is
, where
is the center of the circle and
radius.
Substitute center
and
in standard form of circle equation.
The circle equation is
Solve the circle equation for
.
Construct a table for different values of
.
.
.
is
.
.
.

Plot the center
and
.
Plot the points obtained in the table.
Connect those points with smooth curve.
Graph of the circle is
The circle equation is
.
Equation of circle:
8) Graph the circle with center at (-1, -2), which also passes through the point (0, 2). Label the center and at least
four points on the circle. Write the equation of the circle.
.
.
.

The standard form of circle equation is
, where
is the center of the circle and
is radius.
Substitute
and
in standard form of circle equation.
The circle equation is
.
Solve the circle equation for
.
.
Construct a table for different values of
.
Plot the center
and
.
Plot the points obtained in the table.
Connect those points with smooth curve.
Graph the circle
.
Graph of the circle is

The circle equation is
.