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The graph of g(x)=x^2+2 is a translation of the graph of f(x) up down left right by ___ units

User Kunal Raut
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The graph of g(x) = x^2 + 2 is a translation of the graph of f(x) = x^2 up by 2 units.

To see why, consider the graph of f(x) = x^2. If we add 2 to this function, we get:

f(x) + 2 = x^2 + 2

This shifts the entire graph of f(x) up by 2 units. Therefore, the graph of g(x) is a translation of the graph of f(x) up by 2 units.
User AvadhP
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