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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
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To translate the function f(x) = x^2 left 8 units, we need to replace x with (x + 8) in the function rule.
So, the function rule for g(x) = f(x) translated left 8 units is g(x) = (x + 8)^2.
To translate the function g(x) up 2 units, we need to add 2 to the function rule:
g(x) = (x + 8)^2 + 2.
Therefore, the function rule for g(x) given f(x) = x^2 is g(x) = (x + 8)^2 + 2.