The vertex form of the function f(x) = x² + x +1 is f(x) = (x + 1/2)² + 3/4
The vertex form of a quadratic equation is:
f(x) = a(x - h)² + k
where a, h and k are constants
Given the function f(x) = x² + x +1, representing in vertex form:
f(x) = x² + x +1
f(x) = x² + x + 1/4 - 1/4 +1
f(x) = (x + 1/2)² + 3/4
The vertex form of the function f(x) = x² + x +1 is f(x) = (x + 1/2)² + 3/4
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