Question

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

Answer 1

C

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