The correct statement is: The viral genome incorporates into the host genome during the lysogenic cycle.
In the lysogenic cycle, the viral DNA integrates into the host cell's genome and can remain dormant for a time, while in the lytic cycle, the virus replicates and ultimately causes the host cell to burst, releasing newly formed viruses. The viral genome is not limited to being injected only during the lytic cycle; it can also be injected during the lysogenic cycle.