Find the function that is finally graphed after the followin

Find the function that is finally graphed after the following transformations are applied to the graph of y= Squareroot x in the order listed. Reflect about the x - axis Shift down 8 units Shift left 6 units

Solution

1. reflecting about x axis send y to -y

So, y becomes

y=-sqrt{x}

2. Shift down 8 units

y becomes

y=-sqrt{x}-8

3. Shift left 6 units

y becomes

y=-sqrt{x+6}-8