Respuesta :

nobillionaireNobley
f(x) = x^2 + x + 1
f(x) = x^2 + x + 1/4 + 1 - 1/4
f(x) = (x + 1/2)^2 + 3/4

Answer:

Step-by-step explanation:

Given is a function in vertex form

[tex]f(x) = x^2+x+1\\[/tex]

Complete the squares to get in square form

[tex]x^2+2(x)(\frac{1}{2} )+\frac{1}{4} +\frac{3}{4} \\(x+\frac{1}{2} )^2+\frac{3}{4}[/tex]

This is in vertex form

Vertex is (-1/2,3/4)