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{"sheet":"Shifting","index":0,"n_rows":29,"n_cols":14,"rows_kept":29,"cut":false,"hidden":false,"merged":[]}
[null,null,"  Shifting and Stretching Functions"]
[]
[null,null,null," This program lets you investigate the"]
[null,null,null,"    the result of adding or subtracting "]
[null,null,null,"    a constant to either the x or the y"]
[null,null,null,"             variable in the function"]
[null,null,null,"y - c  =  zig (x - a)"]
[]
[]
[null,null,"What is the the value of  a (- 4 to 4)?",null,{"$f":"G10/10-4","v":0.79999999999999982},62,48]
[]
[null,null,"What is the the value of  c (- 2 to 2)?",null,{"$f":"G12/10 -2","v":0.29999999999999982},62,23]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"y - (\"&TEXT(b,\"0.0\")&\")  = zig(x - (\"&TEXT(a,\"0.0\")& \"))\"","v":"y - (0.3)  = zig(x - (0.8))"}]
[]
[null,"Click each item below for suggestions and investigations",null,null,null,null,null,null,null,null,null,null,null,"   or"]
[null,null,null,"   Item 1"]
[null,null,null,"   Item 2",null,null,null,null,null,null,null,null,{"$f":"\"y =  (\"&TEXT(b,\"0.0\")&\")  + zig(x - (\"&TEXT(a,\"0.0\")& \"))\"","v":"y =  (0.3)  + zig(x - (0.8))"}]
[null,null,null,"   Item 3"]
[]
[]
[]
["Created by:  Sheldon P. Gordon",null,null,null,null,null,null,null,null," "]
["                     Farmingdale StateCollege"]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]

{"sheet":"Stretching","index":1,"n_rows":37,"n_cols":13,"rows_kept":37,"cut":false,"hidden":false,"merged":[]}
[null,null,"Shifting and Stretching Functions"]
[]
[null,null,null," This program lets you investigate the"]
[null,null,null,"    the result of multiplying or dividing "]
[null,null,null,"          either the x or the y variable"]
[null,null,null,"           in a function by a constant."]
[null,null,null,"           k * y   =  zig (m * x)"]
[]
[]
[null,"What is the the value of  m (0.5 to 3)?",null,null,{"$f":"G10/10+0.5","v":1.2},62,7]
[]
[null,"What is the the value of  k (- 3 to 3)?",null,null,{"$f":"G12/10 -3","v":-0.60000000000000009},62,24]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\" (\"&TEXT(kk,\"0.0\")&\") * y = zig(\"&TEXT(mm,\"0.0\")& \"x)\"","v":" (-0.6) * y = zig(1.2x)"}]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,"   or"]
[]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"\"y =  1/(\"&TEXT(kk,\"0.0\")&\") * zig(\"&TEXT(mm,\"0.0\")& \"x)\"","v":"y =  1/(-0.6) * zig(1.2x)"}]
[null,"Click each item below for suggestions and investigations"]
[null,null,null,"   Item 1"]
[null,null,null,"   Item 2"]
[null,null,null,"   Item 3"]
[]
[]
[]
["Created by:  Sheldon P. Gordon"]
["                     Farmingdale StateCollege"]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,null," "]

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[]
[null,null,"Shifting",null,null,null,null,null,null,"Stretching"]
[null,"X=m*x","Y=k*y","x","y",null,null,null,"X=m*x","Y=k*y"]
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[null,-6.2,0.29999999999999982,-7,0,null,null,null,-8.4,0,-7,0]
[null,-5.2,-0.70000000000000018,-6,-1,null,null,null,-7.1999999999999993,0.60000000000000009,-6,-1]
[null,-4.2,0.29999999999999982,-5,0,null,null,null,-6,0,-5,0]
[null,-3.2,1.2999999999999998,-4,1,null,null,null,-4.8,-0.60000000000000009,-4,1]
[null,-2.2000000000000002,0.29999999999999982,-3,0,null,null,null,-3.5999999999999996,0,-3,0]
[null,-1.2000000000000002,-0.70000000000000018,-2,-1,null,null,null,-2.4,0.60000000000000009,-2,-1]
[null,-0.20000000000000018,0.29999999999999982,-1,0,null,null,null,-1.2,0,-1,0]
[null,0.79999999999999982,1.2999999999999998,0,1,null,null,null,0,-0.60000000000000009,0,1]
[null,1.7999999999999998,0.29999999999999982,1,0,null,null,null,1.2,0,1,0]
[null,2.8,-0.70000000000000018,2,-1,null,null,null,2.4,0.60000000000000009,2,-1]
[null,3.8,0.29999999999999982,3,0,null,null,null,3.5999999999999996,0,3,0]
[null,4.8,1.2999999999999998,4,1,null,null,null,4.8,-0.60000000000000009,4,1]
[null,5.8,0.29999999999999982,5,0,null,null,null,6,0,5,0]
[null,6.8,-0.70000000000000018,6,-1,null,null,null,7.1999999999999993,0.60000000000000009,6,-1]
[null,7.8,0.29999999999999982,7,0,null,null,null,8.4,0,7,0]
[null,8.8000000000000007,1.2999999999999998,8,1,null,null,null,9.6,-0.60000000000000009,8,1]
[null,9.8000000000000007,0.29999999999999982,9,0,null,null,null,10.799999999999999,0,9,0]
[null,10.8,-0.70000000000000018,10,-1,null,null,null,12,0.60000000000000009,10,-1]
[null,11.8,0.29999999999999982,11,0,null,null,null,13.2,0,11,0]
[null,12.8,1.2999999999999998,12,1,null,null,null,14.399999999999999,-0.60000000000000009,12,1]
[null,13.8,0.29999999999999982,13,0,null,null,null,15.6,0,13,0]
[null,14.8,-0.70000000000000018,14,-1,null,null,null,16.8,0.60000000000000009,14,-1]
[null,15.8,0.29999999999999982,15,0,null,null,null,18,0,15,0]
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