Please answer all the questions

Lesson 1: Horizontal and Vertical Translations The Module 1: Lesson 1 Assignment is worth 6 marks. The value of each question is stated in the left hand margin. 1. Use the graph to answer the following questions. (2marks) , Give an equation for the function y = g(x) in the form y = f(x h) + k Then, describe what these 'h' and 'k' values are doing to f(x). 2. The world population is approximately seven billion and still rapidly growing. What would the following transformations mean for the real-life context of our data? (What do the transformations describe happening in real-life?) Population in billions 6 4 2 O 1500 1550 1600 1650 1700 1750 1800 1850 1900 1950 2000 2050 Year (2 marks) a. Determine a mapping rule for if the graph is translated 300 units to the left then explain what this means in the context of the question. Expectations Explanation uses the units provided in the corresponding axes (years) (2 marks) b. Determine a mapping rule for if the graph is translated 1 billion units up then explain what this means in the context of the question. Expectations Explanation uses the units provided in the corresponding axes (population)