![sequence of transformations sequence of transformations](https://i.ytimg.com/vi/6AcndfoYbr8/maxresdefault.jpg)
Translate 5 units in the positive Y directionĬf(bx+a)+d = Translate by a units in the negative X direction, then scale by a factor of 1/b parallel to the X-axis, then scale by a factor of c parallel to the Y-axis, then translate by d units in the positive Y direction.Ĭ+d = Scale by a factor of 1/a parallel to the X-axis, then translate by b units in the negative X direction, then scale by a factor of c parallel to the Y axis, then translate by d units in the positive Y direction. Sequence transformations are important tools for the convergence acceleration of slowly convergent scalar sequences or series and for the. Scale by a factor of 3 parallel to the Y axis Scale by a factor of 1/2 parallel to the X axis Translate 4 units in the positive X direction So scale parallel to the X axis by a factor of 1/2, then move left by 2 units. Hence, the original point becomes x= (8/2)-2 = 2ĭescribe the transformation of 3f(2x-4) + 5. Rotate 90 degree counterctockwise around the origin.
![sequence of transformations sequence of transformations](https://i.ytimg.com/vi/zvFC19LTs5Q/maxresdefault.jpg)
Reflect over the x-axis, dilate about the origin by a scale factor of 1/2, translate up 5 units. Some methods of automatic selection of sequence transformations for accelerating the convergence of sequences are presented. Select ail statements which indicate a sequence of transformations where the resulting polygon has an area greater than the original polygon. If we want to do scaling first, we need to factorise into f 2(x+2). A sequence of transformations is applied to a polygon. Hence, the original point becomes x= (8-4)/2 = 2 Move left by 4 units, then scale parallel to the X axis by a factor of 1/2. Students will practice using two transformations on a single figure and graph the images by dragging and dropping the pre-labeled coordinates and pre-measured lines. Let’s look at this example to illustrate the difference:įor f(2x+4), we do translation first, then scaling. In this Google Slides digital activity, students will practice sequences of transformations on the coordinate plane, including translations, reflections, and rotations. Knowing whether to scale or translate first is crucial to getting the correct transformation. In the transformation of graphs, knowing the order of transformation is important.
#SEQUENCE OF TRANSFORMATIONS HOW TO#
How to sketch both cartesian and parametric graphs on the same diagram using GC.How to prepare for H2 maths from 2019 onwards.Common error in area of periodic functions Click hereto get an answer to your question Square PQRS and TUVW are shown below.Which sequence of transformations of square PQRS shows that square.Finding range of composite functions using GC.Value added by tuition: A better way to gauge.Good 2020 prelim to do and difficulty rating.Good 2021 prelim to do and difficulty rating.180 degree rotation around point P, then translation along vector v, then reflection across line l.ĥ Your-Turn #1 Draw the image of △ABC after the given combination of transformations.Ħ explain 2A Draw the image of the figure in the plane after the given combination of transformations.ħ explain 2B Draw the image of the figure in the plane after the given combination of transformations.Ĩ Draw the image of the figure in the plane after the given combination of transformations.ĩ explain 3A Predict the result of applying the sequence of transformations to the given figure.ġ0 explain 3A Predict the result of applying the sequence of transformations to the given figure.ġ1 Your-Turn #3 Predict the result of applying the sequence of transformations to the given figure.ĭid we. Reflection over the line l then translation along vector v.Ĥ explain 1B Draw the image of △ABC after the given combination of transformations. Presentation on theme: "Section 18.1: Sequences of Transformations"- Presentation transcript:ġ Section 18.1: Sequences of TransformationsĢ Objective(s): By following instructions, students will be able to: Determine what happens when you apply more than one transformation to a figure.ģ explain 1A Draw the image of △ABC after the given combination of transformations.