Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3?right 2, up 3left 2, down 3right 2, down 3left 2, up 3

Answer:A. right 2, up 3Step-by-step explanation:We have that,The function [tex]f(x) = x^2[/tex] is transformed to [tex]g(x) =(x- 2)^2+3[/tex].We see that,The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).So, the correct transformation is 'right 2, up 3'.Hence, option A is correct.