Answer:
The first option
Step-by-step explanation:
Given a quadratic function in standard form : ax² + bx + c : a ≠ 0, then
The equation of the axis of symmetry which is also the x- coordinate of the vertex is found using
x = -
f(x) = - 2x² - 2x - 1 ← is in standard form
with a = - 2, b = - 2, so
x = - = - 0.5
Equation of axis of symmetry is x = - 0.5
Substitute x = - 0.5 into f(x)
f(- 0.5) = - 2(- 0.5)² - 2(- 0.5) - 1 = - 0.5 + 1 - 1 = - 0.5
Vertex = (- 0.5, - 0.5 )