Whereas the vertex of the graph of the function f(x) = x^2 is (0, 0), the vertex of the graph of the function g(x) = -8x + x^2 + 7 = (4, -9).
The vertex of the graph of the function g(x) = -8x + x^2 + 7 is 4 units to the right and 9 units down of the vertex of the graph of the function f(x) = x^2.