10 terms

Math graph transformation

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y=-f(x)
reflecting the graph in the x axis
y=f(-x)
reflecting the graph in the y axis
y=f(3x)
stretching the graph by a factor of 1/3, parallel to the x axis
y=f(1/2x)
stretching the graph by a factor of 2, parallel to the x axis
y=3f(x)
stretching the graph by a factor of 3, parallel to the y axis
y=1/2f(x)
stretching the graph by a factor of 1/2, parallel to the y axis
y=f(x+1)
translating the graph by 1 unit left horizontally
y=f(x-1)
translating the graph by 1 unit right horizontally
y=f(x)+1
translating the graph by 1 unit up vertically
y=f(x)-1
translating the graph by 1 unit down vertically
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