Please help High School Pre Calc!

Whats the name of the vertical axis

Which of the following is true for the relation f(x)=2x^2+1

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.