For the equation $$y = -6 |x| + 2$$ answer the following questions:

What are the $x$-intercept(s) written as ordered pair(s)?
Note: If there is more than one write them separated by a comma (i.e.: (1,2),(3,4)). If there are none, type none in the answer blank.
$x$-intercept(s):

What is the $y$-intercept written as an ordered pair?
Note: If there is more than one write them separated by a comma (i.e.: (1,2),(3,4)). If there are none, type none in the answer blank.
$y$-intercept:

Is the graph symmetric with respect to the $x$-axis? ( yes or no )

Is the graph symmetric with respect to the $y$-axis? ( yes or no )

Is the graph symmetric with respect to the origin? ( yes or no )