Question

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

Answer 1

we have

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

This a vertical parabola open upward with a vertex at point $(0,0)$

and

$g(x)=(x+3)^{2}+4$

This a vertical parabola open upward with a vertex at point $(-3,4)$

The rule of the transformation is

$f(x)---------> g(x)$

$(x,y)-----> (x-3,y+4)$

that means

Is a translation of $3$ units to the left and $4$ units up

therefore

the answer is

A translation of $3$ units to the left and $4$ units up

Answer 2

The correct answer would be A) Left 3, Up 4.