GIVEN:
We are given the graph of the function as indicated in the attached image.
Required;
To determine the correct function that defines the graph shown.
Step-by-step solution;
For the graph given, we have what is the negative of a square root function. In order words for a square root function the graph would appeare as shown below;
However, for the negative value of the square root the graph of the function would be as follows;
Note that the graph shown has been shifted 5 units up along the y-axis. This means the graph would move upwards and the equation would reflect as follows;
[tex]\begin{gathered} y=-\sqrt{x} \\ \\ Shift\text{ }5\text{ }units\text{ }up: \\ \\ y=-\sqrt{x}+5 \end{gathered}[/tex]
We can re-arrange this to be re-written as;
[tex]y=5-\sqrt{x}[/tex]
ANSWER:
The correct answer is option C,
[tex]y=5-\sqrt{x}[/tex]
