Break the soil up to the depth of 12 inches with a shovel. Locate the dwarf rabbit brush planting site in full sun exposure. Break any soil clumps up with a garden hoe. Keep the soil loose while working with it.
Spread a 6-inch layer of sand over the planting site. Mix the sand into the loosened soil so that it is evenly mixed. Small gravel is also a workable substitute to sand since dwarf rabbit brush prefers sandy, rocky soil. Do not compact the soil down. Leave the soil mounded to improve the drainage.
Dig a hole in the center of the planting site with a hand trowel as deep as the roots of the dwarf rabbit bush. Create a wide hole so the loose soil does not collapse into the hole.
Remove the dwarf rabbit brush from its container by tipping the plant on its side. Gently pull the plant out of the container. Place the rootball into the hole and fill the hole in with soil.
Firm the soil around the base of the plant so that it is held in place. Water the soil with about a quart of water. Regularly water the dwarf rabbit brush once a week until new growth begins.