Transformation functions

Question

Y=sqrt(x) that is reflected across the origin, then shifted up 2 units

Answer 1

If you are given f(x) then these are the ways to manipulate the function:

1. -f(x) is a reflection across the x-axis.
2. f(x+a) is a horizontal shift to the left
3. f(x-a) is a horizontal shift to the right
4. f(x)+a is a vertical shift upwards
5. f(x)-a is a vertical shift downwards
6. f(-x) is a reflection across the y-axis

Following these will bring you to the answer y = -sqrt(-x)+2.