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US

710070

Transforming Graphs

- Translation
- y-direction
- f(x) + k
- Graph translates up the y scale by k units

- Graph translates up the y scale by k units
- f(x) - k
- Graph translates down the y scale by k units

- Graph translates down the y scale by k units

- f(x) + k
- x-direction
- f(x+k)
- Graph translates in the negative x-direction by k units

- Graph translates in the negative x-direction by k units
- f(x-k)
- Graph translates in the positive x-direction by k units

- Graph translates in the positive x-direction by k units

- f(x+k)

- y-direction
- Reflection
- In the x-axis
- -f(x)
- y values become negative, so reflected in the x-axis

- -f(x)
- In the y-axis
- f(-x)
- x values become negative, so reflected in the y-axis

- f(-x)

- In the x-axis
- Stretch
- y-direction
- y=kf(x)
- Stretch in the y-direction, scale factor k

- y=kf(x)
- x-direction
- y=f(kx)
- Stretch in the x-direction, scale factor 1/k

- y=f(kx)

- y-direction

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