k ( x ) = 3 x + 1 , x 1 3 x 2 1 , 1 x 1 1 x 2 , x 1 The function g is related to one of the parent functions described in an earlier section.

k(x) = x + ,  x ≤ −1 

x2 − ,  −1 < x ≤ 1 

 − x2,  x > 1

gparent functions

g(x) = (sqrt  − x) − 

(a) Identify the parent function f.

f(x) =  

(b) Describe the sequence of transformations from f to g. (Select all that apply.)reflection in the y-axis

a.) horizontal stretch

b.) horizontal shift of 5 units right

c.) vertical shift of 3 units downward

d.) vertical shift of 3 units upward

(d) Use function notation to write g in terms of f.

g(x) =   (