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)=x^2?

New function will be g(x) = (x + 8)² + 2

Step-by-step explanation:

The parent graph is f(x) = x²

When this graph is translated left by 8 units then the translated graph will be represented by the function f(x) = (x + 8)²

Now this translated graph is further moved up by 2 units then the new function representing the graph will be

g(x) = (x + 8)² + 2

Therefore, the new function will be g(x) = (x + 8)² + 2

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step-by-step explanation: