2016 JC1 Structured Remedial 2_Graphing Techniques.docx -...

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TEMASEK JUNIOR COLLEGE2016 JC1 H2 MATHEMATICS (9758)Structured Remedial 2: Graphing Techniques1Sketch the ellipse given by the equation 2292436xy.Describe a sequence of two transformations that can transform the ellipse to a circlewith centre at the origin and radius 2.2The graph below shows the graph of y= f(x) which cuts the x-axis at x = a. The curve has a turning point at (b, c) and an asymptote y= d.It is given that a, b, cand positive constants.Sketch, on separate clearly labelled diagrams, the graphs of(i)f(21)yx,(ii)f (||)yx,(iii) 1fyx,(iv)y= f (x).3The curve Chas equation 272axxbyxc, wherea, b, ¡and 2cx .Given that the curve has a vertical asymptote52x and cuts the y-axis at0,2, find the values of band c(i)If the curve dare c.

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