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Answer:
[tex]f(x) = 2{x}^{2} - x + 5 \\ f( - 2) = 2 {( - 2)}^{2} - ( - 2) + 5 \\ f( - 2) = 2(4) + 2 + 5 \\ f( - 2) = 8 + 2 + 5 \\ \boxed{f( - 2) = 15}[/tex]