# Transforming Graphs

### Description

Transforming Graphs | C1 OCR Maths
Mind Map by james_hobson, updated more than 1 year ago
 Created by james_hobson almost 10 years ago
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## Resource summary

Transforming Graphs
1. Translation
1. y-direction
1. f(x) + k
1. Graph translates up the y scale by k units
2. f(x) - k
1. Graph translates down the y scale by k units
3. x-direction
1. f(x+k)
1. Graph translates in the negative x-direction by k units
2. f(x-k)
1. Graph translates in the positive x-direction by k units
2. Reflection
1. In the x-axis
1. -f(x)
1. y values become negative, so reflected in the x-axis
2. In the y-axis
1. f(-x)
1. x values become negative, so reflected in the y-axis
2. Stretch
1. y-direction
1. y=kf(x)
1. Stretch in the y-direction, scale factor k
2. x-direction
1. y=f(kx)
1. Stretch in the x-direction, scale factor 1/k

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