Question 63742
*[invoke plot_any_graph "(x-2)((x+4)^2)", -10, 10, -40, 10, 300, 300]
It will cross the x axis for odd multiplicities and touch for even.  
Example:  (x-2) is odd because even though it is not shown it is raised to the power of one which is odd and 
{{{(x+4)^2}}}is even because it is raised to an even power.
To find the y intercept substitute 0 for x.
{{{y =(0-2)(0+4)^2}}}
{{{y=-2(4)^2}}}
{{{y=-32}}}