Given function is,
[tex]y=\sqrt[]{x+2}-3[/tex]
To find the Horizontal and vertical shift.
Horizontal shift is defined as any changes which is made by adding or substracting to the variable x in the function.
Vertical shift is defined as any changes which is made by adding or substracting to the variable y in the function.
So in the given function the value inside the root is ( x+2 ). so the horizontal shift is two unit left side.
So in the given function the value out side the root is -3, which directly add it to the variable y.
So the vertical shift is three unit down ( Downwards since negative side ).
So the required answer is 2 units left side and 3 units downwards.
