We have to translate the graph to go from the parent function y1 = √x to the function
y2 = √(x+1) + 4.
The independent term "4" indicates a vertical shift of 4 units up.
Then, when we add one in the the argument of the square root, we translate the function in the horizontal axis.
As we are adding one unit, it means that y2(0) will have the same argument that y1(-1), so the shift is to the left compared to the parent function.
We can graph them as:
The steps are then:
- move the graph 4 units up.
- move the graph 1 unit left.