Shifting a graph of a quadratic function f(x) = x^2+ ax + b vertically down 12 units, and horizontally to the left 4 units, we o
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Let 
. Then
Meanwhile, since
, you have 
.
It follows that
, 
, and 
, so that the quadratic fit for that satisfies the given points is
Note that this is just the second-order Taylor polynomial for
about 
.
Meanwhile, since
It follows that
Note that this is just the second-order Taylor polynomial for