Find the function that is finally graphed after the followin

Find the function that is finally graphed after the following series of transformations is applied to the graph of y = Squareroot x. Shift left 3 units Reflect about the y-axis

Solution

y = sqrtx

--- shift left 3 units

y = sqrt(x+3)

----- reflect about the y axis

y = sqrt(-x +3)

This is the final function : f(x) = sqrt(-x +3)