Respuesta :

Answer:

x = - [tex]\frac{b}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form , that is

y = ax² + bx + c = 0 ; a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

x² + bx + c = 0 ← is in standard form

with a = 1, b = b, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2}[/tex]