CH P Graphing Functions

1) The original square root function before the transformations is in brown color.

2) I perform vertical translation up 4 units, by adding 4 outside of the square root. See the function in blue.

3) I translated the square root of x horizontally 3 units to the right by subtracting x by 3

inside the square root symbol. See the function in red.

4) The purple function show the vertical and horizontal translation of the square root function together. I subtract 3 to x inside the square root and added 4 outside the square root symbol to do so.

5) The graph in green is the horizontal reflection. This reflection across the y- axis could be created by putting a negative sign in front of x, like this (-x).
6) The vertical reflection across the x-axis is in pink. To get this function we have to multiply the square root of x by -1.

7) The orange function is 4 plus the negative square root of x minus 3. In other word this is the vertical reflection and horizontal/vertical translations of the square root function.