answer the following and show your work:

6. State the transformations of the following and sketch the graph. a) y = 2(x+3)' -6 b) 1= -x +11 7. The population of a city in Ontario can be modelled by the following equation: P=6x3 + 120x+ 3000 or P= 6(x+ 10)" +2400 where t represents the time in years and P represents the population. When t=0, the year is 2000. a) What was the population in the year 2000? b) What year is the population at its lowest point? What is the population during this time? c) Which equation is more helpful to answer a)? Why? d) Which equation is more helpful to answer b)? Why? 8. A model rocket is launched from an elevated pad. Its flight path through the air is modelled by h = -512 - 10t + 40, for h the height of the rocket in metres and t the time in seconds. a) When does the rocket land? (Hint: Looking for factored form). b) How high was the rocket when it was launched? c) Graph the data using time increments of 1 second. d) What is the maximum height of the rocket