Graphing Radicals (Kuta Software Worksheet)

Okay, this worksheet came from the Kuta software available on the web to free worksheet. So thank you, kuta. Graphing radicals is no different than any of the other functions we have graphed this school year. Now, I am calling it a function because we're only looking at the positive square root, and you know, for example, number 5 here. This is Y equals the square root plus 5. The parent function is Y equals the square root of X. this is a graph of Y plus squared X plus 5. So this is a transformation of vertical shift up 5 units from the parent function. So as you work through this worksheet in class and for homework, please list the transformations. For example, this is a vertical shift down 2. And number 9, you have negative two times the square root of X plus two. Three transformations occurred. Negative means reflection, the two means the graph is changed in its dilation either it's wide or narrowed. And X plus two means the graph shifted to the left two units. So be thinking about your parent functions as you go through these graphs and be thinking about the transformations. 11th, this is the square root of X minus four minus two. This had a vertical shift down 2 at a horizontal shift to the right four units. Make sure as you go through these functions, you're thinking about the domain and range and all those restrictions. If you have any questions, make sure you see me in class.