# college algebra

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

y=

• college algebra -

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

• college algebra -

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.

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