Transcription of CORE 2 Summary Notes - Mathsbox
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CORE 2 Summary Notes - Mathsbox
core 2 Summary Notes1 Indices Rules of Indicesxa xb =xa+bxa xb =xa b(xa)b=xabSolve 32x + 1 10 3x + 3 = 03 (3x)2 10 3x + 3 = 0 Let y = 3x3y2 10y + 3 = 0(3y 1)(y 3) = 0y =1gives 3x =133x = 1y= 3gives 3x = 3 x = 1 Solve 9x =12732x = 3 32x = 3x = 32 x0= 1 x a=1ax x n = n1x x nnmnmmx)x(==2 Graphs and TransformationsASYMPTOTESS traight lines that are approached by a graph which never actually meets 2 3 4 5 1 2 3 4 512345 1 2 3 4 5 Horizontal Asymptotey = 1 Vertical Asymptotex = 2y =1x 2+ 1 TRANSLATION- to find the equation of a graph after a translation of you replace xby (x-a) and y by (y - b) ab1yx1 2 3 4 5 1 2 3 4 512345 1 2 3 4 The graph of y = x2 -1 is translated through.
REFLECTING y = -f(x) Reflection in the x-axis, replace y with –y Reflection in the y-axis, replace x with – x STRETCHING Stretch of factor k in the x direction replace x by
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