# How do you write # f(x) = x^2 - 3x + 1# in vertex form?

In vertex form

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To write the function ( f(x) = x^2 - 3x + 1 ) in vertex form, complete the square. First, factor out the leading coefficient (if not 1), then complete the square for the quadratic term. The vertex form of a quadratic function is ( f(x) = a(x - h)^2 + k ), where (h, k) is the vertex of the parabola. The formula for completing the square for ( ax^2 + bx ) is ( \left(x + \frac{b}{2a}\right)^2 - \frac{b^2}{4a} ). Apply these steps to rewrite the function in vertex form.

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