The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

In vertex form, f(x) = (x + 3)² − 10 has vertex (−3, −10), so its axis of symmetry is x = −3. Moving the axis 5 units to the right gives x = −3 + 5 = 2. A function with axis of symmetry x = 2 has the form (x − 2)² plus a constant, which matches choice A, g(x) = (x − 2)² + k.

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