How do you graph #y=-3sqrtx-3#, compare to the parent graph, and state the domain and range?
Graph it using a graphing calculator, domain is
If you do not have a graphing calculator, you can use one that is online and free, such as Desmos. Here is the link: Desmos
There are buttons at the bottom of the screen that can be used to enter your function. The parent function is
The way to write your function in standard form is as following:
The first and most obvious thing about this transformation was that it was reflected over the x-axis. That can be seen in your function because the leading coefficient (
Finally, the domain and range. This can be figured out graphically, by looking at the graph and seeing that x must be greater than 0 and y must be less than -3. So,