Question

help please..find the function that is finally graphed after thr following transformations are applied to the graph of y=sqrt x
reflect about the x-axis
shift down 3 units
shift left 5 units

Answer 1

Reflected about x axis means multiply by negative one
Shift down 3 units mean subtract 3
Shift left 5 units means add 5 to x before taking the square root.
Ending with:
\[y = -\sqrt{x+5} - 3\]