Question

find the function that is finally graphed after the following transformations are applied to the graph of y=sqrt x in the order listed.
1. relected about the x-axis
2. shift down 9 units
3. shift left 2 units

y=

Answer 1

1. y = -√x
2. y = -√x - 9
3. y = -√(x+2) - 9

Answer 2

The answer is 3. Since the

y = -√(x+2) - 9
(-) means reflect by x-axis
-9 means 9 units down
+2 means shift left 2 units

The sign makes a difference
For shift if its negative it shift right and positive left.