Answer
E
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) left by 3 units.
then,
2. reflecting it across the x-axis,
and then
3. translating up by 2 units.
(graph E)