Question

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

Answer 1

Right 2 up 3 because when the change happens within x the opposite result happens but for vertical it remains the same . So the answer is right 2, up 3

Answer 2

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is the point $(0,0)$

$g(x)=(x-2)^{2}+3$

This is a vertical parabola open upward

The vertex is the point $(2,3)$

The rule of the translation of f(x) to g(x) is

$(x,y)-----> (x+2,y+3)$

that means

the translation is $2$ units to the right and $3$ units up

therefore

the answer is the option

right 2, up 3