#### Answer

a) The point symmetric with respect to the x-axis is the point itself $(4,0)$
b) The point symmetric with respect to the y-axis is $(-4,0)$
c) The point symmetric with respect to the origin is also $(-4,0)$

#### Work Step by Step

The point on the graph is $(4,0)$
The symmetric points can be found on the graph by following the rules in 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 $(4,0)$
b) The point symmetric with respect to the y-axis is $(-4,0)$
c) The point symmetric with respect to the origin is also $(-4,0)$