g(x)=f(x-7)= (x-7)^2 - 5

So the vertex for f(x) = -b/2a = 0/2 = 0; (0,-5)

Vertex for g(x) = 14/2 = 7; (7, -5)

The graph is shifted seven units to the right. No change in the y direction. So B and E are correct.

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