Question

(Please) Show all the steps that you use to solve this problem.
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?

Answer 1

To translate any graph to the left 8 units, we replace with x + 8.

giving

f ( x ) = ( x + 8 )²

Now, to shift this graph up 2 units, we addt 2.

getting

g (x) = ( x + 8 )² + 2

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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)=x^2?

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