Cardosa did not enter a plea, but instead chose to postpone her arraignment to March 7.
The 40-year-old is facing 16 felony counts, including lewd acts with a child and sexual assault of a minor. She was arrested on Monday, two weeks after a YouTube video surfaced, in which a former student accused Cardosa of molesting her.
"Jamie," the 28-year-old woman confronting Cardosa, posted the video online. She says the former Alhambra High School assistant principal molested her when she was a student in Riverside County.
That sexual abuse allegedly took place from the time "Jamie" was 12 years old until she turned 18.
The video also was sent to the Alhambra Unified School District, where Cardosa was working as an assistant principal. Officials referred the case to police, and Cardosa resigned from her post at Alhambra High School.
After that video surfaced, another victim identified as "Brianna" stepped forward. The 18-year-old said that she too had an encounter with Cardosa in 2010. At the time, Cardosa was a teacher with the Val Verde School District.
Cardosa remains behind bars on $5 million bail.