Exercise 18 Page 624

Let's first graph the given square root function and find its domain and range. Then, we will compare the graph to the graph of its parent function.

Graph, Domain, and Range

Let's start by finding the domain of $y=\text{-}\frac{1}{4}\sqrt{x}.$ To do so, recall that the radicand of a square root is always greater than or equal to $0.$ Therefore, the domain of the given function is all real numbers greater than or equal to $0.$ With this in mind, we will make a table of values to graph the function.