Step 1:

Graph the circle (x + 2)^2 + (y + 1)^2 = 32.  Label the center and at least four points on the circle.

The circle equation is .

The standard form of circle equation is , where is the center of the circle and is radius.

Compare the circle equation with standard form.

Here and .

The circle equation is .

Solve the circle equation for .

.

Construct a table for different values of .

		\ \ \
		\ \
		\ \

Step 2:

Graph the circle equation .

Plot the center and and points.

Solution:

Graph of the circle :

 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.

Step 1:

The center of the cirle is .

The circle passes through the point is .

The distance from center to any point on the circle is radius.

.

The radius of the circle is .

Step 2:

The standard form of circle equation is , where is the center of the circle and is 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 .

		\ \
		\ \ \
		\ \

Step 3:

Plot the center and .

plot the points obtained in the table.

Connect those points with smooth curve.

Graph the circle .

Solution:

Graph:

The circle equation is .