Question 1029191: Hello guys i have a question about cubic function.
A ship of invaders is positioned at the point (3,0). To hit the ship, the cannon ball must travel along a path defined by a cubic function. If the entire graph was shown, there would be a turning pointed at (-2,0)
Show that the equation of the path of the cannon-ball is  , where k is a constant.
So, how can i SHOW that this equation is true?
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! suppose k = 1, then we have
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y = x^3 + x^2 -8x -12
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the graph of this function is
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x^3 + x^2 -8x -12 = (x-3) * (x+2)^2
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note that (-2,0) and (3,0) define the zeros for the function, k can be any constant since k * 0 = 0
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