Question

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

Answer 1

Adding to the variable (x+3) shifts the graph left 3 units, adding a constant shifts the graph upwards, in this case 4 units.

Answer 2

we know that

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

the vertex in the function f(x) is the point $(0,0)$

the vertex in the function g(x) is the point $(-3,4)$

so

the rule of the transformation that occurs from  f(x) to g(x) is

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

that means

$3$ units left and $4$ units up

therefore

the answer is the option

left 3, up 4