The circle equation is .
The standard form of a circle equation is , where center
and radius
.
Convert the given circle equation into standard form.
\ Circle equation
.
Compare it with standard form of circle.
\ and
or
.
Graph the circle with center
and radius
.
Find four points " radius away from the center in the up, down, left and right direction".
\Up , down
, left
and right
.
Draw the coordinate plane.
\ 1). Plot the center at .
2). Plot four points " radius away from the center in the up, down, left and right direction".
\3). Sketch the circle.
\\
The circle equation is
.
Find the intercepts.
\First find the -intercept, by substituting
in the original equation.
Solve for .
Take square root each side.
\
or
.
or
-intercepts are
and
.
Next find the -intercept, by substituting
in the original equation.
Solve for .
Take square root each side.
\
or
or
The -intercepts are
and
.
Center
and radius
.
The circle graph:
\
intercepts are
and
.