Use the information about the graph of a polynomial function to determine the function. assume the leading coefficient is 1 or −1. there may be more than one correct answer. the y-intercept is (0, 9). the x-intercepts are (−3, 0), (3, 0). degree is 2. end behavior: as x → −∞, f(x) → −∞, as x → ∞, f(x) → −∞.

y = -x² + 9

the x-intercepts are x = - 3 and x = 3 hence the factors are

(x + 3 ) and (x - 3 )

polynomial is the product of its factors

y = a(x - 3 )(x + 3) ← ( a is a multiplier )

from the end behaviour the parabola opens down and is a maximum and so the value of a is negative

y = -(x - 3)(x+3) = - (x² - 9 ) = - x² + 9

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step-by-step explanation: