What can we say about the transformation ?

f(x) = x^3 + x^2 - 14x - 24
So f(x) = (x+2)*(x+3)*(x-4)

The transformation that i need to explain is :
f_1 = f(x+a)
So f_1 = (x+2+a)*(x+3+a)*(x-4+a)

At my known, the whole function is equally moving on the x axis when the value of (a) changes. (0;0) points can be found when (a) = -2 , -3 or +4.
But beside that, i don?t know what to say? If you guys have anything more to add to it. I would gladly take the information.

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