One gene influencing several traits is known as

One gene influencing several traits is known as Pleiotropy.
“PLEIOTROPY” refers to the phenomenon in which a single locus affects two or more unrelated phenotypic traits and is often identified as a single mutation that affects two or more wild-type traits.
It occurs when one gene influences two or more seemingly unrelated phenotypic traits. The underlying mechanism is genes that code for a product that is either used by various cells or has a cascade-like signaling function that affects various targets.