Please help brainliest if correct only answer if you are positive it is correct

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 6, 10), has a vertex at (negative 4, 6), and goes through (negative 2, 10).

What is the equation of the translated function, g(x), if

f(x) = x2?

A: g(x) = (x – 4)2 + 6

B: g(x) = (x + 6)2 – 4

C: g(x) = (x – 6)2 – 4

D: g(x) = (x + 4)2 + 6