Question

How do you write `f(x) = x^2 - 3x + 1` in vertex form and identify the vertex?

Answer 1

x o vertex: `x = (-b/2a) = 3/2`

y of vertex:`f(3/2) = 9/4 - 9/2 + 1 = -5/4`

Vertex (3/2, -5/4)

Vertex form:`f(x) = (x - 3/2)^2 - 5/4`

Check by developing:`f(x) = x^2 - 3x + 9/4 - 5/4 = x^2 - 3x + 1` .OK