Please help me answers these questions on paper showing the work pleaseee

Lesson 2: Reflections The Module 1: Lesson 2 Assignment is worth 4 marks. The value of each question is stated in the left hand margin. (4 marks) 1. Three functions are shown: f(x) = (x + 2)2 2, g(x)and h(x). Determine an equation for g(x) and h(x) in the same form as f(x). Justify your answers! Expectations [J An equation is determined for each function [J Work is shown to determine equation Work is explained in words Lesson 3: Stretches The Module 1: Lesson 3 Assignment is worth 6 marks. The value of each question is stated in the left hand margin. 1. Complete these tasks for the following graph. (4 marks) a. Determine the domain and range of the functions f(x) and g(x) in the graph. Clearly label your answers. Then determine the equation for g (x) in terms of f (x) for the above graph. Justify your equations and clearly label your work. Expectations [J Use domain & range to determine stretches [J Work must be shown to earn marks Mathematics 30-1 Assignment Booklet 1 (2 marks) 4. a. Describe how the graph of - 2 can be obtained y = x from 4 W Expectations In your equation 'y' should be isolatedLesson 4: Combining Transformations The Module 1: Lesson 4 Assignment is worth 8 marks. The value of each question is stated in the left hand margin. 1. Consider the functions f(x) and g(x) in the graph shown below. (4 marks) a. Determine the equation of the function f(x) in terms of g(x). Justify your answer. Show work for each of the following separately [ Stretches [J Reflections [J Translations Mathematics 30-1 Assignment Booklet 1 (2 marks) 5. Given a function f(x) = (x 1);l + 5 What would be the equation of the function after the following transformations, - 2(f3(x + 1)) = 5 Mathematics 30-1 Assignment Booklet 1 (2 marks) 6. Given the function f(x) = (x D(x + 3)(x 2) Explain & determine how we could find the x-intercepts and y-intercepts of the transformed function g(x), given that g(x) = 2f(3x) Expectations Determine x & y intercepts of f(x) & g(x) [J Explain & show how you determined each intercept (] If a question asks for intercepts your answer must put the intercepts in coordinate form Mathematics 30-1 Assignment Booklet 1 MODULE 1: Lesson 5 ASSIGNMENT Lesson 5: Inverse of a Relation The Module 1: Lesson 5 Assignment is worth 9 marks. The value of each question is stated in the left hand margin. 1. Use the graph below to answer the following questions. Y (1 marks) a. Will the inverse of f (x) be a function? How can you tell without graphing? (3 marks) 2. Determine the domain and range for both f(x) and fl(x). Clearly label your answers. Compare similarities and differences between the domain and ranges for f(x) and f '(x)? Mathematics 30-1 Assignment Booklet 1 2 marks) 3. a. Determine the inverse of f(x) = 2x + 3. Show all work! ( (2 marks) 4. a.Determine a restriction we can make to the domain of f(x) = X+ 1, so that its inverse becomes a function and both graphs are visible within the domain. Explain why these restrictions would turn the inverse into a function? Mathematics 30-1 Assignment Booklet 1 (1 marks) b. Sketch both f{x) and f_1(x) on the same grid using the restricted domain from 4b. Clearly label your graphs. 24 20 16 12 -2 =16 -20 -24 Each graph should: [J Be labeled to its function [J Have arrows [J Key points labeled & correct