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Question

The graph of g(x)
is f(x)
translated to the left 8 units and up 2 units. What is the function rule for g(x)
given f(x) = x2
?

Answer 1

To translate the function f(x) = x^2 left 8 units and up 2 units, we need to make the following adjustments to the function rule:

1. Move left 8 units: f(x + 8)
2. Move up 2 units: f(x + 8) + 2

Therefore, the function rule for g(x) is:

g(x) = (x + 8)^2 + 2