Work with your group members to answer the following questions. Shifting reflecting and stretching graphs activity. Transformations graphing activity reflections, rotations. I am going to be sure to emphasize to my students that this is what they were supposed to learn today. Shifting, stretching and reflecting parent function graphs youtube. Shifts are addedsubtracted to the x or fx components. There are two types of activities presented in this packet. Verticalhorizontal stretchingshrinking usually changes the shape of a graph.
You need to be able to write the equation of a function given a transformation, and vice versa. Theory of shifting, reflecting and stretching graphs. Its contents are solely the responsibilities of the. Learn vocabulary, terms, and more with flashcards, games, and other study tools. The national academies physical activity ncbi bookshelf. Reflections in the coordinate axes of the graph of y f x are represented as follows. The creating bar graphs activity packet is an interactive, handson packet that has students record and represent data using tally charts and bar graphs. Summary of graphs of parent functions page 42 sketch an example of each of the six most commonly used functions in. The aim of the present chapter is to summarize current work in activity theory and its implications for the field of human computerinteraction. After the analysis, the graphs are further examined to see what can be learned from the visual representation. This is because playing connect the dots strengthens the tiny muscles in the hand. They will name at least three things that they learned from the graphs and will create an equation if applicable. Thompson university of georgia arizona state university we describe a construct called shape thinking that characterizes individuals ways of thinking about graphs.
Scales stretch compress a scale is a nonrigid translation in that it does alter the shape and size of the graph of the function. Activity 4 graph each of the functions on the same graph. Velocitytime graphs are great for giving a visual description of how an object moves. Each of the following graphs shows a shift of the function f that has formula fx x2.
Professor elviszap teaches you how to stretch shift and reflect the graph of a square root. If we multiply a function by a coefficient, the graph of the function will be stretched or compressed. Additional funding from kaiser permanente and the blue cross and blue shield of minnesota foundation. Scale a translation in which the size and shape of the graph of a function is changed. Type in your answer the same way it appears in the chart. They can carry a lot of information in a very concise form, and are the basis of the tachographs used in buses and lorries to provide a record of the drivers activities and driving habits. Connect the dots activity book activibooks for kids on. Function transformations in this activity you should discover the graphical connection between and the functions of the form. Students extend to draw vertical lines draw rain with no wind. This website was supported by grant number ce002079 from the centers for disease control and prevention.
The football will be rotated, reflected, dilated, and translated. The identity function the squaring function the cubing function the square root function. A square root function is the opposite of a squared function. Activity graphs allow you to track the recent activity in your projects and repositories in the activity tab, in the upper part, you can see commits chart and pull requests chart showing the number of commitspull requests made by top contributors during the selected time span there are project and repository activity graphs. This is a great activity for students learning about transformations. Stretching and reflecting transformations read algebra ck12. The designations employed and the presentation of the material in this publication do not imply the expression of any opinion whatsoever on the part of the world health organization concerning the legal status of any country, territory, city or area or of its authorities, or concerning the delimitation of its frontiers or boundaries. Can be used either as an introduction to straight line graphs or as an interesting task to consolidate their understanding of the multiple representations of linear relationships. Shifting, reflecting, and stretching graphs monday, august 29, 2011 goals. The nodes in the cytoscape graphs are colorcoded and sized according to the importance of the node in this activity, nodes are people in students social networks. You start with ysquare root of x1 it becomes 0 students graphing activity kevin c.
Physical activity also improves the quality of life among cancer patients and survivors. My cooperating teacher asked me to create a smartboard activity where students would graph the answers to questions. Stretching and shrinking graphs of functions engageny. Conversely, students will be able to create graphs from basic functions using the. Precalculus applying stretching and shrinking transformations duration. Crowe, eastern kentucky university, created with geogebra. Shifting, reflecting and stretching graphs we begin this lesson with a summary of common graphs that we have seen thus far. Centers for disease control and prevention, the california endowment, and the w. Shifting, stretching and reflecting parent function graphs. Line graphs with different axis scales reading of values from a graph given x find y and vice versa graphs gradient, intercepts, set domains limited. We have already had experience with constant and linear functions, and have been introduced, albeit sparingly, to the other graphs. Learn how to recognize shifts, vertical and horizontal stretches and. Shifting, reflecting, and stretching graphs vertical shifts horizontal shifts reflecting stretching and flattening most typically transformed graphs page 42.
They are on page 42, or on the link in angel for this section. Recognize graphs of parent functions use vertical and horizontal shifts to graph functions use reflection to graph functions use nonrigid transformations to graph functions. Did you know that the more dots your child connects, the better hisher handwriting will be too. We introduce shape thinking in two formsstatic and emergentthat.
Identifying function transformations video khan academy. Shifting, reflecting, and stretching graphs notes jason. In this lesson you learned how to identify and graph shifts, reflections, and nonrigid transformations of functions. On pages 26 of the flipchart there are 4 clicker questions to check students current understandings of parent functions. For people with colorectal cancer, women with breast cancer, and men with prostate cancer, greater amounts of physical activity are associated with reduced risk of morality from the original type of cancer. Graphing your social network activity teachengineering.
We will leave it to the reader to verify the graphs of the six basic functions given below. Learn algebra 1 lesson by lesson in my learn algebra 1 video course for sale here. Students will understand how to identify transformations of graphs and in what order. Full text of stretching scientifically a guide to flexibility training. If fx 2x 1, for example, we graph the line with slope 2 and yintercept 1. Upon the authority of the charter granted to it by the congress in 1863, the academy has a mandate that requires it to advise the federal. The national academy of sciences is a private, nonprofit, selfperpetuating society of distinguished scholars engaged in scientific and engineering research, dedicated to the furtherance of science and technology and to their use for the general welfare. Recognize graphs of parent functions use vertical and horizontal shifts to graph functions use reflection to graph functions. If the constant is grouped with the x, then it is a horizontal shift, otherwise it is a vertical shift.
982 634 1491 1409 910 571 763 600 241 771 886 925 802 1486 145 787 993 1100 1331 729 795 435 135 1387 1529 882 971 214 1399 293 574 204 550 1038 231 160 684 249 438 669 1498 186 821 47