# Transformation-of-graphs.docx - Transformation of graphs...

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Transformation of graphsRemember: inside the brackets affects the x-coordinate, but the opposite way.outside the brackets affects the y-coordinate.Describing transformations examplesGraph 1: y = f(x)Graph 2: the graph has moved 2 to theright, so we haveadded2 to thex-coordinate.inside the brackets affects thex-coordinate, but the opposite wayso graph 2f(x – 2)Graph 1: y = f(x)Graph 2: they-coordinates are now allnegative– they have beenmultiplied by -1.outside the brackets affects they-coordinate.so graph 2-1f(x)Graph 1: y = f(x)Graph 2: the graph has moved 1 down,so we havesubtracted 1 from they-coordinate.outside the brackets affects they-coordinateso graph 2f(x) - 1Graph 1: y = f(x)Graph 2: they-coordinates have beenmultiplied by 3.outside the brackets affects they-coordinateso graph 23f(x)12122112
1111Affect xor y?(-12, 5)becomes(18, -8)becomesf(x + 3)x(-15, 5)(15, -8)f(x – 4)f(x) + 2f(x) – 3f(3x)f(½x)2f(x)½ f(x)f(-x)-f(x)

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Fermat s theorem, Transformation of Graphs