Question

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

left 4, down 9
left 4, up 23
right 4, down 9
right 4, up 23

Answer 1

g(x) = x^2 - 8x + 7 = (x - 4)^2 - 9, so its vertex is (4, −9). Mapping (0,0) → (4,−9) is right 4, down 9.