Answer
A
Work Step by Step
Use the table on page 62 (Translations and Reflections)
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If $f(x)=x^{2}$, with whose graph we are familiar,
then $y=(x-3)^{2}+2=f(x-3)+2,$
whose graph is obtained by
1. translating the graph of f(x) right by 3 units.
and then
2. translating up by 2 units.
(graph A)