Assignment 2 2018 Transformations数学作业代写 Throughout this assignment, all sketches that you draw should be carefully drawn to scale using graph paperthat you can downloadDue: 10Am Friday of week 8: Friday May 4, 2018 10:00Am. Value: 10%. Marked out of 100.Throughout this assignment, all sketches that you draw should be carefully drawn to scale using graph paper that you can download from the Internet (Exception: your answer to question C1 may be a rough 3D sketch). Use a thinner pen to draw axes and a thicker pen to draw objects so that there is a clear distinction at all times between the object and the axes.Assignment2代写You will be submitting your solution as a PDF (see below) so ensure that you allow time for scanning your work to prepare your final PDF submission. Also, make sure that your scanned document will be clearly legible – easy to read and clear for marking.A. Sketching Transformations in 2D [20 marks]数学作业代写A simple triangular flag is sketched below in figure A-1. This shape is deliberately non-symmetric, so it is possible to distinguish between the shape and its mirror image.Figure A-1: A triangular flag.A1. [4 marks] Carefully sketch the result of applying the transformation R(90) to the triangular flag. Show the coordinates of the points that define the transformed flag.A2. [4 marks] Carefully sketch the result of applying the transformation S(2,1) to the original triangular flag. Show the coordinates of points that define the transformed flag.A3. [4 marks] Carefully sketch the result of applying the transformation R(90)S(2,1) to the original triangular flag. Show the coordinates of the points.数学作业代写A4. [4 marks] Carefully sketch the result of applying the transformation S(2,1)R(90) to the original triangular flag. Show the coordinates of the points.A5. [4 marks] Carefully sketch the result of applying the transformation R(90)T(1,0) to the original triangular flag. Show coordinates of the points.数学作业代写B. A Transformation for Stretching in 2D [30 marks]数学作业代写A graphics programmer wishes to draw objects that have been stretched in a particular direction. They know how to stretch an object along the X or Y axes, but they need your help to stretch the object in an arbitrary direction. Here are two figures that they provided to help explain what they mean by stretching an object. Figure B-1 shows (a) the original object, which is a circle of radius 1,(b) the circle stretched by a factor of two along the X axis, (c) the original circle stretched by a factor of 2 along the Y axis, and (d) the original circle stretched by a factor of 2 in a 45 degree direction. Figure B- 2 shows (a) an original unit square and (b) the result of stretching it by a factor of 2 in a 45 degree direction. Note that stretching is about the origin of the axes, not the centre of the object being stretched.数学作业代写Figure B-1: (a) Original (b),(c),(d) Stretched horizontally, vertically, and diagonally.Figure B-2: (a) Original (b) Stretched diagonally.Stretching is defined by a stretch factor

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