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F(x)=-(1)/(2)x² translted 2 units up and 3 units right

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Final answer:

To translate the function f(x) = -1/2x^2 2 units up and 3 units right, we add 2 to the original equation and subtract 3 from the x inside the parentheses.

Step-by-step explanation:

The function f(x) = -1/2x^2 translated 2 units up and 3 units right can be represented as f(x) = -1/2(x-3)^2 + 2. To translate the function 2 units up, we add 2 to the original equation. To translate the function 3 units right, we subtract 3 from the x inside the parentheses. The resulting equation represents the function translated 2 units up and 3 units right.

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