Answer:
vertex = (- 1, 0 )
Explanation:
given a parabola in standard form
ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
= -

y = x² + 2x + 1 ← is in standard form
with a = 1 and b = 2 , then
= -
= - 1
substitute x = - 1 into y for corresponding y- coordinate
y = (- 1)² + 2(- 1) + 1 = 1 - 2 + 1 = 0
vertex = (- 1, 0 )