standard_description: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ³ 1.
problem_activity: What is the minimum value taken by the expression
$${{{(x-}}4)^2+6}$$
? How does the structure of the expression help to see why?
Rewrite the quadratic expression
$${ x^2-6x-3}$$
in the form
$${{(x-}}$$
_____
$${{ )^2+}}$$
______ .
Rewrite the quadratic expression
$${-2x^2+4x+3}$$
in the form  ____
$${{(x-}}$$
_____
$${{ )^2+}}$$
______ .


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