Write a function for each graph described as a transformation of y= x². a. y = x² undergoes a shift left of 2 units, then a reflection through the x-axis.

b. y = x² undergoes a horizontal stretch by a factor of 1/3, then a shift up of 4 units.

Four airplanes carrying a total of 400 passengersarrive at the detroit airport. the airplanes carry, respectively,50, 80, 110, and 160 passengers.a) one of the 400 passengers is selected uniformly at random.let x denote the number of passengers that were on theairplane carrying the randomly selected passenger. find var(x)for x as given in the problemb) one of the 4 airplane drivers is also selected uniformly atrandom. let y denote the number of passengers on the chosen driver’s airplane. find var(y) for y as given in the problem

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

In the sixth grade 13 out of 20 students have a dog if there are 152 sixth grade students how many of them have a dog