Question

F(x)=x^(2)-3x-2 is shifted 4 units left. The result is g(x). What is g(x)

Answer 1

Substituting (x+4) in place of x in f(x) = x^2 - 3x - 2:

g(x) = (x+4)^2 - 3(x+4) - 2

= (x+4)(x+4) - 3x - 12 - 2

= (x^2 + 8x + 16) - 3x - 14

= x^2 + 8x - 3x + 16 - 14

Simplifying further:

g(x) = x^2 + 5x + 2

Therefore, g(x) = x^2 + 5x + 2.