Answer:
The effect of rent controls is less housing, and higher prices of the existing housing.
Step-by-step explanation:
This is because binding rent controls do not allow prices to reach equilibrium, and this causes a difference between supply and demand.
Supply stays low, and does not meet demand, creating a shortage. The shortage causes both more scarcity of housing, and higher prices for existing houses, because demand is much higher than supply.
I will provide an image below that illustrates the effect.