Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 12 units above the vertex of the graph of g(x) . Which pair of functions could have been used to create the graphs of g(x) and h(x)?

A. h(x)=(x+12)2 and ​g(x)=x2​

B. h(x)=x2−12 and g(x)=x2

C. h(x)=x2+12 and ​g(x)=x2​

D. h(x)=(x−12)2 and ​g(x)=x2