Consider this example provided by my teacher:

1. Graph quadratic function y = f(x) = =(x -2)2 + 1. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the largest open interval over which the function is decreasing. f (x) = =(x-2)2 +1 Vertex (2, 1) y - intercept (0, 2) Parabola 5 -4 -2 6 8 Answer: (a) (2, 1) (b) x =2 (c) (-00, +0o) (d) [1, co) (e) (2, +00) (f) (-00, 2)1. Graph quadratic function f(x) = -=(x + 3)'+ 2. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the largest open interval over which the function is decreasing