Ch 1.2: Transformations Essential Question: How do the graphs of y=f(x-c) and y=f(x)+c compare/contrast?

When you enter… Get out your Green WS from yesterday and compare answers. Complete the backside of the WS

Parent function

How can we generalize Horizontal Translations?

How can we generalize Vertical Translations?

How do we write Translations of Functions?

How can we generalize Reflections?

How do we write reflections of functions?

Check Your Progress!

If a > 1 then the graph “stretches” AKA the graph gets narrower How can we generalize nonrigid transformations? (sometimes referred to as stretching or shrinking) If a > 1 then the graph “stretches” AKA the graph gets narrower If 0 < a < 1 then the graph “shrinks” AKA the graph gets wider

Write a function h whose graph is a vertical stretch of the graph of f by a factor of 2 Writing nonrigid transformations of functions

4 Color Quiz! In your groups you will be making 3 possible “quiz questions,” similar to the activity we did last class. These will be turned into me at the end of the period in a zipblock bag with your group member names on the bag. In your groups, decide on 3 transformed functions. On the pink paper, draw the graph On the green paper, write the function On the yellow paper, write the name of the parent function and describe the transformations from the parent. On the purple paper, write the domain and range

How to set up the HW As a reminder, homework is assigned every class and due the next class period. You should give an honest attempt at every problem because you will not learn the math by watching someone else do problems. I will be reviewing your homework at least once each week and giving you feedback on your solutions. Your homework will also be reviewed by your peers and you will receive feedback from them. Therefore, the format for homework is as follows: On loose leaf binder paper and in pencil, please include your name in the upper right hand corner and write the section followed by page number and problems on the top line. For example: 1.2 pg 34, #5-19 odd. Fold your page vertically so that you have two columns. Please do not draw a line down the center of the page. Summarize the directions for each problem. EX: If the directions state: “Graph the function” write “Graph.” EX: If the problem is a word problem, use bullet points to indicate the relevant information. Show your solutions steps. If your thought process is not obvious, then it will be difficult to give (detailed) feedback. After completing each problem check your answer in the back of the book and/or with a friend. If you have an Incorrect answer, check the following common mistakes: Is your answer an alternate form of the correct answer? For example: your answer is 0.5 and the textbook answer is ½. Check that you have written down the problem correctly. Check your work for mistakes. Once you have tried all of the above, identify the problem by drawing a diagonal line through the problem number with contrasting ink. Corrections are to be made in pen to any wrong answer.