Answer
Refer to the graph below.
Work Step by Step
RECALL:
The graph of the equation $x^2+y^2=r^2$ is a circle whose center is at the origin and whose radius is $r$ units.
The given equation can be written as $x62+y^2=6^2$.
Thus, its graph is a circle with center at the origin and whose radius is $6$ units.
To graph this equation, perform the following steps:
(1) Plot the center $(0, 0)$.
(2) Plot the following points:
6 units above the center: $(0, 6)$
6 units below the center: $(0, -6)$
6 units to the right of the center: $(6, 0)$
6 units to the left of the center: $(-6, 0)$
(3) Connect the four points listed in Step (2) above using a smooth curve to form a circle.
Refer to the graph in the answer part above.
