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?

Given: Two functions f(x) = x^2  and g(x) = x^2 – 10x +2

To find: Which Translation maps the vertex of the graph of the function f(x) onto the vertex of the function g(x)?

Solution:

                 g(x) - 2 = x^2 – 10x

                 g(x) - 2 + 25 = x^2 – 10x + 25

                 g(x) + 23 = (x - 5)^2

                 g(x) = (x - 5)^2 - 23

             So the correct option is right 5, down 23

2x^2+5x+17

your welcome. : )