Answer:
x = - 1
Step-by-step explanation:
The equation of the axis of symmetry for a parabola in standard form
y = ax² + bx + c : a ≠ 0 is found using
x = - [tex]\frac{b}{2a}[/tex]
y = - x² - 2x - 5 ← is in standard form
with a = - 1 and b = - 2, thus equation of axis of symmetry is
x = - [tex]\frac{-2}{-2}[/tex] = - 1
Equation of axis of symmetry is x = - 1