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ka2Z7izpipatrick
ka2Z7izpipatrick ka2Z7izpipatrick
  • 03-07-2016
  • Mathematics
Answered

Which function in vertex form is equivalent to f(x) = x2 + x +1?

Verified Answer :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 03-07-2016

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 Link
AlonsoDehner AlonsoDehner
  • 21-07-2019

Answer:

Step-by-step explanation:

Given is a function in vertex form

\(f(x) = x^2+x+1\\\)

Complete the squares to get in square form

\(x^2+2(x)(\frac{1}{2} )+\frac{1}{4} +\frac{3}{4} \\(x+\frac{1}{2} )^2+\frac{3}{4}\)

This is in vertex form

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

Answer Link

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