Which function in vertex form is equivalent to f(x) = x2 + x +1? f(x) = (x + one-quarter) squared + three-quarters f(x) = (x + one-quarter) squared + five-quarters f(x) = (x + one-half) squared + three-quarters f(x) = (x + one-half) squared + five-quarters

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

x² + x + 1 ← to obtain vertex form use metod of completing the square

To complete the square

add/ subtract (half the coefficient of the x- term )² to x² + x

x² + 2()x + - + 1

f(x) = (x + )² + ← in vertex form

do it you r self

Step-by-step explanation: