{"title":"Transformations of Graphs","authors":"Mark Kudlowski, M. K. H. Tuition","doi":"10.1090/prb/029/07","DOIUrl":null,"url":null,"abstract":"Figure 1 shows part of the graph of y = f(x), x R. The graph consists of two line segments that meet at the point (1, a), a < 0. One line meets the x-axis at (3, 0). The other line meets the x-axis at (–1, 0) and the y-axis at (0, b), b < 0. In separate diagrams, sketch the graph with equation (a) y = f(x + 1), (2) (b) y = f(x). (3) Indicate clearly on each sketch the coordinates of any points of intersection with the axes. Given that f(x) = x – 1 – 2, find (c) the value of a and the value of b, (2) (d) the value of x for which f(x) = 5x. (4) June 05 Q6 O y","PeriodicalId":430790,"journal":{"name":"Functions and Graphs","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Functions and Graphs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/prb/029/07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Figure 1 shows part of the graph of y = f(x), x R. The graph consists of two line segments that meet at the point (1, a), a < 0. One line meets the x-axis at (3, 0). The other line meets the x-axis at (–1, 0) and the y-axis at (0, b), b < 0. In separate diagrams, sketch the graph with equation (a) y = f(x + 1), (2) (b) y = f(x). (3) Indicate clearly on each sketch the coordinates of any points of intersection with the axes. Given that f(x) = x – 1 – 2, find (c) the value of a and the value of b, (2) (d) the value of x for which f(x) = 5x. (4) June 05 Q6 O y