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