Write a formula for fxsqrtx shifted up 1 unit and left 2 uni

Write a formula for f(x)=sqrtx shifted up 1 unit and left 2 units.
Write a formula for f(x)=|x| shifted down 3 units and right 1 unit.
Write a formula for f(x)=(1/x) shifted down 4 units and right 3 units.
Write a formula for f(x)= (1/x^2) shifted up 2 units and left 4 units.

Solution

f(x) = sqrt x   shifted up 1 unit and left 2 units.

for upward shifting we add outside the function and for left sifting we add inside the function

f(x) = sqrt ( x + 2) + 1

f(x)=|x| shifted down 3 units and right 1 unit.

for downward shifting we subtract outside the function and for right shifting we subtract inside tyhe function

f(x) = | x - 1| - 3

f(x)=(1/x) shifted down 4 units and right 3 units.

f(x) = ( 1/ (x-3)) - 4

f(x)= (1/x^2) shifted up 2 units and left 4 units.

f(x) = ( 1/ x+4)^2 ) + 2