Transformation of graphs mr stevensons maths class. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. Graph transformations worksheets questions and revision mme. Fill in the boxes at the top of this page with your name, centre number and candidate number. Transformations of sine and cosine 14 december 2010 stretch v. The corbettmaths video tutorial on transformations of graphs. You should already be familiar with the transformation y fx a translations parallel to the xaxis. In the first set of videos i explained how to the amplitude and period changes and what numbers in the equations. The following diagrams show how to determine the transformation of a trigonometric graph from its equation. Tes global ltd is registered in england company no 02017289 with its registered office at 26 red lion square london wc1r 4hq. Describe the affects of the following graph transformations. Questions and revision gcse maths level 6 level 7 graph transformations worksheets. Mathematics revision guides transformations of graphs page 9 of 9 author. Starting from the general form, you can apply transformations by changing the amplitude, or the period interval length, or by shifting the equation up, down, left, or right.
The graph of the sine function and the unit circle recall from chapter 9 that if rop is an angle in standard position with measure u and pp, q is a point on the unit circle, then p, q 5 cos u, sin u and au, q is a point on the graph of y 5 sin x. There are two types of transformation you must be familiar with. Transforming trig graphs one step at a timelesson 5. Graph transformations revision archives maths made easy. Throughout this topic, we will use the notation fx to refer to a function and describe the changes that happen to it. The consultant editor is at the very hub of setting and marking gcse mathematics, being chairman of examiners after many years as a chief examiner. Trig graph paper 11 free templates in pdf, word, excel. Transformations of a figure are changed in the image or the way the figured is presented. For compound transformations of this kind, it is often helpful to use function diagrams to break down. Jun 01, 2014 provides examples of trigonometric graph transformations for gcse. Methods to transform figures are translation, rotation, reflection and enlargement. Translation sliding down on a sliding board or moving an object, this motion is an example of translation. Transformations and invariant points higher gcse maths qotw october 23, 2016 november 14, 2016 craig barton your students may be the kings and queens of reflections, rotations, translations and enlargements, but how will they cope with the new concept of invariant points.
The general form for a trig function the general form. Please read the following notes are designed to help you to input your answers in the correct format. Tides and temperatures trig graphs in actionlesson 6. Gcse maths revision resources transformations of trig graphs 2. Exam questions trigonometric graphs and transformations. The graphs of the trigonometric functions can take on many variations in their shapes and sizes. For each question in this section, make a table of values and graph the equations. Amplitude of trigonometric functions the amplitude of a trigonometric function is the maximum displacement on the graph of that. Aug 07, 2016 the corbettmaths video tutorial on transformations of graphs.
First you graph the vertical shift to get the new midline, then the horizontal shift gives you the starting value of the function, then the amplitude dictates how high and how low the graph goes, and then the. First you graph the vertical shift to get the new midline, then the horizontal. Graphical transformation of trigonometric functions. Transformations gcse maths revision looking at enlargements, rotations and reflections. Edexcel gcse mathematics a higher tier 1ma01h you must have. Aug 07, 2016 the corbettmaths videos on the trigonometric graphs. Scroll down the page for more examples and solutions. Transformation of trigonometric graphs solutions, examples. Working with the graphs of trigonometric functions. Eleventh grade lesson transforming trig graphs one step at.
Drag the sliders to transform the graph of the trig function. Edexcel gcse mathematics linear 1ma0 transformation of graphs materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Trigonometric graph transformations teaching resources. This post is simply to attach the powerpoint we used in class as well as the mark scheme for the gcse question sheet. Gcse, maths, mathematics, revision, graphs, trigonometric graphs, trig graphs, trigonometry, sine graph, sin graph, cosine graph, cos graph, tangent graph, tan graph. The corbettmaths practice questions on trig graphs. Gcse guide provides detailed revision notes, past papers, and revision advise for motivated gcse students. You should already be familiar with the transformation y. Aug 31, 2015 this website and its content is subject to our terms and conditions. Period amplitude the graph of the sin, cos, tan, csc, sec, and cot functions applying graph transformations to the graphs of the sin, cos, tan, csc, sec, and cot functions using graphical evidence to make conjectures about identities the periodicity identities. Gcse mathematics non calculator paper total practice paper style questions topic.
Use the graph to find estimates of the solutions, in the interval. Trigonometric graphs can be sketched when you know the amplitude, period, phase and maximum and minimum turning points. Now that we know how to extract basic information from a function and sketch its curve graphically, we can consider how to alter the function to translate, reflect or stretch the graph. Download and create your own document with trig graph paper 1 27kb 8 pages for free. Three worksheets with practice sketching and identifying trig graphs.
Gcse maths revision resources transformations of trig. This circle has the centre at the origin and a radius of 1 unit. The point p can move around the circumference of the circle. Provides examples of trigonometric graph transformations for gcse. The main info on this topic is on the first post posted before this one. A transformation is something that is done to a graphfunction that causes it to change in some way. Transforming the graphs of trigonometry functions dummies. Revision summary gcse trig graph transformations teaching. Graph transformations worksheets questions and revision. Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, hb pencil, eraser. Dec 14, 2010 transformations of sine and cosine 14 december 2010 stretch v. In this section i show you translations of the trigonometric graphs of fx sinx, cosx and tanx relative to the yaxis and then the xaxis. Graph trig functions sine, cosine, and tangent with all of the transformations in this set of videos, we see how the line of equilibrium is affected by a vertical shift, and how the starting point is affected by a horizontal shift phase. Transformations shapes revision gcse maths study guide.
Place your mouse over the image and scroll down to reveal the answer. Transformations are amplitude, period, vertical translation and combinations of these. For trig functions there are some important quantities that give us information about the shape of the graphs, and we should figure out how the various. Transformations of trig functions we can do all the usual tranformations to the graphs of the trig functions. This is the graph transformations revision for aqa, ocr and edexcel gcse maths. Diagrams are not accurately drawn, unless otherwise indicated.
Transformations and invariant points higher gcse maths. Mar 23, 2011 graph trig functions sine, cosine, and tangent with all of the transformations. This topic is about the effects that changing a function has on its graph. Graph trig functions sine, cosine, and tangent with all of the transformations. Trig graph paper 11 free templates in pdf, word, excel download. Tweet new grade 1 9 gcse revision cards available autumn term 2016. Join s of fellow maths teachers and students all getting the tutor2u maths teams latest resources and support delivered fresh in their inbox every morning. On the transformations of trigonometric functions handout, complete part a for questions 1 4. Trigonometric graphs practice questions corbettmaths. If the graph is contracted, then the period becomes smaller. This is a card matching activity where pupils are required to match the correct equation with the graph. Eleventh grade lesson transforming trig graphs one step at a time. Transformation of trigonometric graphs related topics.
Graph, p, below is the graph of i describe the transformation that maps graph p onto. I structured these transformations in this way because this is an easy way to graph when you are given all transformations at once. Transformation of functions higher tier for this paper you must have. Graph and list amplitude, period, phase shift, vertical shift and xaxis flip for eah of the following. Transformations of trig graphs 1 gcse maths revision. Feb 07, 2011 the main info on this topic is on the first post posted before this one. Shifts of graphs up and down are also called translations. Download free printable trig graph paper samples in pdf, word and excel formats.
It does not include fx notation as this was aimed at a higher tier lower ability group. Join s of fellow maths teachers and students all getting the tutor2u maths teams latest resources and support delivered fresh. Amplitude a period or horizontal shift c vertical shift d steps to sketch 1. Corbettmaths videos, worksheets, 5aday and much more. Transformation of trigonometric graphs worksheets, videos. Transformations of the sine and cosine functions ks4. Transformation of trig graphs stretch squash teaching. Answer the questions in the spaces provided there may be more space than you need. Read each question carefully before you begin answering it.
1300 1141 917 1144 1385 573 580 1431 273 370 500 276 773 235 1119 101 1341 723 501 1121 212 83 155 491 130 513 794 476 927 1309 767 417 49 1181