The quadradic function f (x) = -x^2-6x-8 is graphed. What are the solutions of the quadradic equation 0 = - X^2-6x-8?

A. 2 and - 4

B. - 2 and 4

C. - 2 and - 4

D. 2 and 4

C

Step-by-step explanation:

Given

- x² - 6x - 8 = 0 (multiply through by - 1)

x² + 6x + 8 = 0 ← in standard form

(x + 4) (x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 2 = 0 ⇒ x = - 2