SAT question for practice I don't understand. Help?

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Answer 1 · 2018-05-02T17:12:32

B) #y=x^2(x-2)(x+3)# is the right choice.

Note that the graph intersects the #X-"Axis"# in the points

#(-3,0), (0,0) and (2,0)#.

#:." when "x=-3,x=0, and, x=2, y=0#.

So, choice is between A) and B).

But, in case of A), we find that,

when #x=-2, y=(-2)(-2-2)(-2+3)=8 gt 0#,

whereas, the graph shows # y(-2) lt 0#.

Hence, B) #y=x^2(x-2)(x+3)# is the right choice.