Chapter 2 - Functions - 2.4 Preview of Transformations: Shifts - Exercises and Problems for Section 2.4 - Exercises and Problems - Page 96: 13

a) $y=g(x)+3$ b) $y=g(x-2)$

(a) The translation leaves the $x$-coordinate unchanged, and shift the $y$-coordinate up 3 ; so $y=g(x)+3$. (b) The translation leaves the $y$-coordinate unchanged, and shift the $x$-coordinate right by 2 ; so $y=g(x-2)$.