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Which of the following functions best describes this graph?

Which of the following functions best describes this graph?-example-1

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Answer:

B

Explanation:

The graph has zeros at x = - 2 and x = - 6, thus

the factors are (x + 2) and (x + 6)

The function is the product of its factors, thus

y = a(x + 2)(x + 6) ← where a is a multiplier

Let a = 1 and expand the factors

y = x² + 6x + 2x + 12 ( collect like terms )

y = x² + 8x + 12 → B

User Mark Tolley
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