Question 1190271
.


The factor x^2 of the polynomial tells you that the plot of the polynomial TOUCHES x-axis at x= 0, 

without going from negative values to positive and vice versa, at x= 0.



In particular, first derivative of this function is zero at x= 0, which means that the tangent line to the plot 

is horizontal at x= 0.



By the way, in the Internet, there are sites what provide you free of charge plotting tools, so you can produce 

any plot of any function as easy as the tutors do it, ON YOUR OWN.



It is only the matter of pressing buttons and printing formulas . . . 



One of such sites is  www.desmos.com



Alternatively, you may use your graphing calculator to make a plot.



Making plots for students is not a tutors' job.