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| x | f(x) | f(ax) | af(x) | f(x+b) | f(x)+b | af(ax+b)+b |
| -10.0 | -776.0 | -60716.0 | -3104.0 | -61.0 | -771.0 | -121048.0 |
| -9.5 | -653.9 | -51904.0 | -2615.5 | -37.6 | -648.9 | -101062.0 |
| -9.0 | -545.0 | -43988.0 | -2180.0 | -20.0 | -540.0 | -83404.0 |
| -8.5 | -448.6 | -36920.0 | -1794.5 | -7.4 | -443.6 | -67930.0 |
| -8.0 | -364.0 | -30652.0 | -1456.0 | 1.0 | -359.0 | -54496.0 |
| -7.5 | -290.4 | -25136.0 | -1161.5 | 5.9 | -285.4 | -42958.0 |
| -7.0 | -227.0 | -20324.0 | -908.0 | 8.0 | -222.0 | -33172.0 |
| -6.5 | -173.1 | -16168.0 | -692.5 | 8.1 | -168.1 | -24994.0 |
| -6.0 | -128.0 | -12620.0 | -512.0 | 7.0 | -123.0 | -18280.0 |
| -5.5 | -90.9 | -9632.0 | -363.5 | 5.4 | -85.9 | -12886.0 |
| -5.0 | -61.0 | -7156.0 | -244.0 | 4.0 | -56.0 | -8668.0 |
| -4.5 | -37.6 | -5144.0 | -150.5 | 3.6 | -32.6 | -5482.0 |
| -4.0 | -20.0 | -3548.0 | -80.0 | 5.0 | -15.0 | -3184.0 |
| -3.5 | -7.4 | -2320.0 | -29.5 | 8.9 | -2.4 | -1630.0 |
| -3.0 | 1.0 | -1412.0 | 4.0 | 16.0 | 6.0 | -676.0 |
| -2.5 | 5.9 | -776.0 | 23.5 | 27.1 | 10.9 | -178.0 |
| -2.0 | 8.0 | -364.0 | 32.0 | 43.0 | 13.0 | 8.0 |
| -1.5 | 8.1 | -128.0 | 32.5 | 64.4 | 13.1 | 26.0 |
| -1.0 | 7.0 | -20.0 | 28.0 | 92.0 | 12.0 | 20.0 |
| -0.5 | 5.4 | 8.0 | 21.5 | 126.6 | 10.4 | 134.0 |
| 0.0 | 4.0 | 4.0 | 16.0 | 169.0 | 9.0 | 512.0 |
| 0.5 | 3.6 | 16.0 | 14.5 | 219.9 | 8.6 | 1298.0 |
| 1.0 | 5.0 | 92.0 | 20.0 | 280.0 | 10.0 | 2636.0 |
| 1.5 | 8.9 | 280.0 | 35.5 | 350.1 | 13.9 | 4670.0 |
| 2.0 | 16.0 | 628.0 | 64.0 | 431.0 | 21.0 | 7544.0 |
| 2.5 | 27.1 | 1184.0 | 108.5 | 523.4 | 32.1 | 11402.0 |
| 3.0 | 43.0 | 1996.0 | 172.0 | 628.0 | 48.0 | 16388.0 |
| 3.5 | 64.4 | 3112.0 | 257.5 | 745.6 | 69.4 | 22646.0 |
| 4.0 | 92.0 | 4580.0 | 368.0 | 877.0 | 97.0 | 30320.0 |
| 4.5 | 126.6 | 6448.0 | 506.5 | 1022.9 | 131.6 | 39554.0 |
| 5.0 | 169.0 | 8764.0 | 676.0 | 1184.0 | 174.0 | 50492.0 |
| 5.5 | 219.9 | 11576.0 | 879.5 | 1361.1 | 224.9 | 63278.0 |
| 6.0 | 280.0 | 14932.0 | 1120.0 | 1555.0 | 285.0 | 78056.0 |
| 6.5 | 350.1 | 18880.0 | 1400.5 | 1766.4 | 355.1 | 94970.0 |
| 7.0 | 431.0 | 23468.0 | 1724.0 | 1996.0 | 436.0 | 114164.0 |
| 7.5 | 523.4 | 28744.0 | 2093.5 | 2244.6 | 528.4 | 135782.0 |
| 8.0 | 628.0 | 34756.0 | 2512.0 | 2513.0 | 633.0 | 159968.0 |
| 8.5 | 745.6 | 41552.0 | 2982.5 | 2801.9 | 750.6 | 186866.0 |
| 9.0 | 877.0 | 49180.0 | 3508.0 | 3112.0 | 882.0 | 216620.0 |
| 9.5 | 1022.9 | 57688.0 | 4091.5 | 3444.1 | 1027.9 | 249374.0 |
| 10.0 | 1184.0 | 67124.0 | 4736.0 | 3799.0 | 1189.0 | 285272.0 |
Equations which shows transformation of the curve:
Graph 1: Stretching parallel to the 
-axis and 
-axis
Function 
is original curve, functions 
and 
shows shrinking of function 
. Function 
stretch on horizontal axis a scale factor of 
. Curve shows stretch by a scale factor of parallel to the -axis.
Graph 2: Horizontal and vertical translations
Graph 3: Shrinks and translations
Transformation for trigonometric function:
Table 2 shows which values of x were used and result of the transformation functions.
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