F(x)=X^2 moved to the right 2 and up 3

Answer 1

F(x) = x^2

G(x) = (x-2)^2 + 3

up three, add 3

right two, subtract 2 from x

general formula for a standard upward opening parabola is

y=(x-h)^2 + k where (h,k) is the vertex or minimum point

for F(x) the vertex is the origin, (0,0). y=(x-0)^2 + 0

for G(x) the vertex is (2,3) (x-2)^2 + 3

from (0,0) to (2,3) is a shift to the right two, and up by three

(0+2, 0+3) = (2,3)