Answer
a) The point symmetric with respect to the x-axis is the point itself $(-3,0)$
b) The point symmetric with respect to the y-axis is $(3,0)$
c) The point symmetric with respect to the origin is also $(3,0)$
Work Step by Step
The point on the graph is $(-3,0)$
The symmetries can be defined by using the book.
Symmetric with respect to the x-axis: if the point $(x,y)$ is on the graph then $(x,-y)$ is also on the graph.
Symmetric with respect to the y-axis: if the point $(x,y)$ is on the graph then $(-x,y)$ is also on the graph.
Symmetric with respect to the origin: if the point $(x,y)$ is on the graph then $(-x,-y)$ is also on the graph.
Furthermore, the graph can be used as a proof of these statements.
a) The point symmetric with respect to the x-axis is the point itself $(-3,0)$
b) The point symmetric with respect to the y-axis is $(3,0)$
c) The point symmetric with respect to the origin is also $(3,0)$
