The functiongis related to one of theparent functionsdescribed in an earlier section.

g(x) = x² 4

(a) Identify the parent function f. f(x) =

(b) Describe the sequence of transformations from f to g. (Select all that apply.)

vertical shift of 4 units downward

reflection in the x-axis

vertical shrink

horizontal shift of 4 units to the left

vertical shift of 4 units upward (c) Sketch the graph of g.

(d) Use function notation to writegin terms off.

g(x) =f