Question

Which of the following functions best describes this graph?

Answer 1

Answer:

B

Step-by-step 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