What could be the function for this graph in factored form?

OPTION A

Step-by-step explanation:

Roots of a function can be determined from the graph by the point which cuts the x - axis.

Here, (-4, 0) and (2, 0) are the points that cut the x - axis.

That means, the roots should have been x = -4, 2.

So, from the options, we see that OPTION A has roots f(x) = (x + 4)(x - 2)².

Since, it is a parabola, we have (x - 2)².

Note that f(-4) = 0 and

f(2) = 0.

Hence, OPTION A is the answer.

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