Find the function that is finally graphed after the following transformations are applied to the graph of y=square root of x in the order listed.
1. Reflect about the x-axis
2. Shift down 6 units
3. Shift left 4 units.
My answer: -(square root x-6)+4 What did I do wrong?

Question

Find the function that is finally graphed after the following transformations are applied to the graph of y=square root of x in the order listed. 
1. Reflect about the x-axis
2. Shift down 6 units
3. Shift left 4 units.
My answer: -(square root x-6)+4 What did I do wrong?

zehanz · Answer

Let's do it step by step:
1. Reflect about x-axis: √x becomes -√x
2.Shift down 6 units: -√x becomes -√x - 6
3.Shift left 4 units: -√x - 6 becomes -√(x+4) - 6

You seem to have confused the horizontal and vertical shifts...