Which second degree polynomial function has a leading coefficient of -1and roots of 4 with muplicity of 2

y = - x² + 8x - 16

Step-by-step explanation:

since x = 4 is a root of multiplicity 2 then

(x - 4)² are the factors, and

y = a(x - 4)² ← where a is a multiplier

here leading coefficient is - 1 ⇒ a = - 1

y = -(x - 4)² ( expand and multiply by - 1 )

y = -(x² - 8x + 16) = - x² + 8x - 16

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