Answer:
vertex = (- 2, - 5 )
Step-by-step explanation:
Given a quadratic in standard form , y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² + 4x - 1 ← is in standard form
with a = 1 and b = 4, thus
[tex]x_{vertex}[/tex] = - [tex]\frac{4}{2}[/tex] = - 2
Substitute x = - 2 into y for corresponding value
y = (- 2)² + 4(- 2) - 1 = 4 - 8 - 1 = - 5
vertex = (- 2, - 5 )
