Appendix D - Graphing Techniques - Exercises - Page 447: 44

See Graph I

For $y = x^2 + 3,$ when $x = 2, y = 7;$ $x = 1, y = 4;$ $x = 0, y = 3;$ $x = −1, y = 4;$ $x = −2, y = 7$ As seen, $y = x^2 + 3$ is the vertical translation of $y = x^2$ up by 3 units also. Domain = $(−\infty, \infty)$ Range = $[3, \infty)$