k(x) = x + ,  x ≤ −1  x2 − ,  −1 < x ≤ 1  − x2,  x > 1 gparent functions g(x) = 

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) =   (