Did Stalactites grow up from the bottom of a cavern floor due to the deposit of minerals over time?

No, stalactites grow downward from the ceiling of a cavern due to the dripping of mineral-rich water, usually calcium carbonate, which solidifies and forms the stalactite over time. Stalagmites, on the other hand, grow up from the floor of the cavern due to the mineral-rich water dripping onto the ground.