Question

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

Answer 1

If you have a graph of the function $f(x)=x^2$, then you should do such transformations to get graph of the function $g(x)=(x+3)^2+4$:
1. translate the graph of the function $f(x)=x^2$ 3 units left, then you get the graph of the function $y=(x+3)^2$;
2. translate the graph of the function $y=(x+3)^2$ 4 units up, then you get the graph of the function $y=(x+3)^2+4$.