Answer:
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