Transforming Graphs

james_hobson
Mind Map by , created over 5 years ago

Transforming Graphs | C1 OCR Maths

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james_hobson
Created by james_hobson over 5 years ago
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Transforming Graphs
1 Translation
1.1 y-direction
1.1.1 f(x) + k
1.1.1.1 Graph translates up the y scale by k units
1.1.2 f(x) - k
1.1.2.1 Graph translates down the y scale by k units
1.2 x-direction
1.2.1 f(x+k)
1.2.1.1 Graph translates in the negative x-direction by k units
1.2.2 f(x-k)
1.2.2.1 Graph translates in the positive x-direction by k units
2 Reflection
2.1 In the x-axis
2.1.1 -f(x)
2.1.2 y values become negative, so reflected in the x-axis
2.2 In the y-axis
2.2.1 f(-x)
2.2.2 x values become negative, so reflected in the y-axis
3 Stretch
3.1 y-direction
3.1.1 y=kf(x)
3.1.2 Stretch in the y-direction, scale factor k
3.2 x-direction
3.2.1 y=f(kx)
3.2.2 Stretch in the x-direction, scale factor 1/k