157k views
0 votes
F(x)=x^(2)-3x-2 is shifted 4 units left. The result is g(x). What is g(x)

1 Answer

6 votes

Answer:

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.

User Bisera
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories