Can someone explain the steps to me please? I would really appreciate it.

C f(x) = (x − 1)² + 2

Step-by-step explanation:

f(x) is a parabola.  It's min/max is at the vertex.  The vertex form of the equation reveals the coordinates of the vertex without having to manipulate it.  In this case, the vertex form of the equation shows that the minimum is at (1, 2).

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