Question

Which description explains how the graph of f(x)=x√ could be transformed to form the graph of g(x)=x√+4?
Responses

vertical shift of 4 units up
vertical shift of 4 units up

horizontal shift of 4 units left
horizontal shift of 4 units left

vertical shift of 4 units down
vertical shift of 4 units down

horizontal shift of 4 units right

Answer 1

The function \( g(x) = \sqrt{x} + 4 \) can be obtained from the function \( f(x) = \sqrt{x} \) by applying a vertical shift. Specifically, adding 4 to \( f(x) \) shifts the entire graph of \( f(x) \) upward by 4 units.

Therefore, the correct description is:

**vertical shift of 4 units up**.