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Answer:
g(x) = (x +1)^2 +3
Step-by-step explanation:
You know that the transformation ...
g(x) = f(x -h) +k
moves the f(x) graph h units to the right and k units up. In this problem, we have h=-1 (1 unit left) and k=3 (3 units up), so the transformation is ...
g(x) = f(x +1) +3
Since f(x) = x^2, the equation for g(x) is ...
g(x) = (x +1)^2 +3
