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`.