precalculus hw due im lost help please

Question

Given , after performing the following transformations: shift upward 22 units and shift 73 units to the right, the new function  

Answer 1

g(x) = (x-73)^2 + 22

the vertex used to be (0,0) f(x) = x^

the standard form for an upward opening parabola is y=a(x-k)^2 + h where (k,h) is the vertex and in this problem a=1

shift it up 22 and the new h becomes 22

shift to the right and the new k become 73, new vertex is (73,22)

when y=22 x=73