IGCSE maths - curve transformations

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Last updated 6:47 PM on 4/28/26
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11 Terms

1
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f(x) + a

move the graph of f(x) UP/DOWN by ‘a’ units

2
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f(x+a)

move the graph of f(x) LEFT (+a) or RIGHT (-a)

3
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af(x)

stretches the graph of f(x) in the y direction by scale factor ‘a’

4
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f(ax)

stretches the graph of f(x) in the x direction by scale factor 1/'a’

5
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f(-x)

reflects the graphs of f(x) in y-axis

6
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-f(x)

reflects the graph of f(x) in the x-axis

7
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domain

the list of possible input values

8
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range

the list of possible output values

9
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sin graphs

max = 1

min = -1

repeats every = 360 degrees

0 degrees = 0

10
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cosine graphs

max = 1

min = -1

repeats every = 360 degrees

0 degrees = 1

11
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tangent

max = infinity

min = infinity

repeats every = 180 degrees

0 degrees = 0