Question

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

right 5, down 23
left 5, down 23
right 5, up 27
left 5, up 27

Answer 1

Right 5, down 23.

Reason: g(x) = x^2 - 10x + 2 = (x - 5)^2 - 23, so its vertex is (5, -23), which is 5 units right and 23 units down from (0,0).