Answer:
[tex]y = 5-\sqrt{x}[/tex]
Step-by-step explanation:
Note that the graph shown is a transformation of the parent function
[tex]y = \sqrt{x}[/tex]
The main function cuts the x-axis at x = 0 and has no negative values of y. In addition, the main function is always growing.
Note that the function shown is decreasing and intercepts the y-axis at y = 5.
Therefore, the graph of the main function has been reflected on the x-axis and displaced 5 units upwards.
If we do y = f(x) then to reflect the main function on the x-axis and move it upwards 5 units we make the following transformation
[tex]y = -f(x) + 5[/tex].
Then the graphed function is:
[tex]y = 5-\sqrt{x}[/tex]
