The U.S. Department of Agriculture has a plant hardiness zone map which indicates cold hardiness for plants. Zone 4 is considered to have long, cold, hard winters and flowers here usually don't thrive. However, in conditions where it can get as cold as -30 Fahrenheit, some annuals do survive during winter.
Parts of Montana, North Dakota, South Dakota, Minnesota, Wyoming, Wisconsin, Maine, New Hampshire, Vermont and New York are considered to be in zone 4.
Annual flowers are the plants that complete their life cycle after one year or after the growing season. Some annual flowers that are planted in colder regions may actually be considered perennials, plants that live longer than two years, if they are planted in much warmer regions.
Some of the annual flowers that may be grown in Zone 4 include African daisy, annual arroyo lupine, annual baby's breath, baby blue eyes, bird's eyes, calendula and nasturtium. Other flowers are rose mallow, tidy tips, lemon mint, lacy phacelia, globe gilia, crimson clover and zinnia.