Given the minimum point, what's this parabola's equation?

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The least value of the function \(x^2+px+q\) is \(3\), and this occurs when \(x=-2\). Find the values of \(p\) and \(q\).

Given

1. the least value of a quadratic function,
2. where it occurs, and
3. the coefficient of \(x^2\),

can we write the function straight down?

If we were asked to sketch the graph, where would the vertex be?