Appendix D - Graphing Techniques - Exercises - Page 449: 50

Refer to the curve in Black in Graph I

For $y = (x + 3)^2,$ when $x = -1, y = 4;$ $x = -2, y = 1;$ $x = -3, y = 0;$ $x = -4, y = 1;$ $x = -5, y = 4$ As seen, $y = (x + 3)^2$ is the horizontal translation of $y = x^2$ to the left by 3 units as well. Domain = $(−\infty, \infty)$ Range = $[0, \infty)$