Answer:
x = - 1
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 ) , then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
y = - 2x² - 4x - 11 ← is in standard form
with a = - 2 and b = - 4 , thus
x = - [tex]\frac{-4}{-4}[/tex] = - 1
x = - 1 is the equation of the axis of symmetry