The function f (x) = x^2 + 5x - 6 is shifted 4 units to the left to create g (x). What

is g (x) ?

Step-by-step explanation:

f (x) = x^2 + 5x - 6 becomes g (x) if we replace each x in f (x) with (x+4):

g (x) = (x+4) ^2 + 5 (x+4) - 6

This can be expanded: g (x) = x^2 + 8x + 16 + 5x + 20 - 6, or

g (x) = x^2 + 13x + 30