Question

The function f(x) = x2 + 5x – 6 is shifted 4 units to the left to create g(x). What is g(x)?

Answer 1

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

Answer 2

Please, use "^" to denote exponentiation: x^2, not x2.

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