Question 525616
I have to graph each function and state it's domain and range. 
y = sqrt(x+1)+4
**
y=√(x+1)+4
Domain: 
Since there are no denominators, the only restriction is in the radical.
In all sqrts, the radican must be≥0
x+1≥0
x≥-1
Domain:[-1,∞)
Range:[4,∞) (basic √x curve bumped up 4 units)

..
Graphing:
Start with the basic √x with points at (0,0), (1,1) (9,3) and (16,4)
Move x coordinates one unit to the left  (-1,0), (0,1) (8,3) and (15,4)
Finally, add 4 units to the y-coordinate:  (-1,4), (0,5) (8,7) and (15,8)
In effect, you are shifting the basic √x curve one unit to the left and raising it 4 units vertically.
see graph below as a visual check on the answers:
..
{{{ graph( 300, 300, -10, 10, -10, 10,(x+1)^.5+4) }}}