Step-by-step explanation:
The question is asking how you would transform √x into 3√(x − 2) + 5.
Transformations include stretching/shrinking, shifting (or translating), and reflecting.
Comparing the two functions, we see three differences in g(x): a -2 inside the radical, a 3 in front of the radical, and a +5 after the radical.
-2 inside the radical means a horizontal shift 2 units to the right.
3 in front of the radical means a vertical stretch by a factor of 3.
+5 after the radical means a vertical shift 5 units up.
Graph:
desmos.com/calculator/y8yxyuzouv
