IB Maths Graph transformations

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8 Terms

1
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y=f(x)+k

Vertical translation k units up

<p>Vertical translation k units up</p>
2
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y=f(x)-k

Vertical translation k units down

<p>Vertical translation k units down</p>
3
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y=f(x-k)

Horizontal translation k units to the right

<p>Horizontal translation k units to the right</p>
4
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y=f(x+k)

Horizontal translation k units to the left

<p>Horizontal translation k units to the left</p>
5
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y=k*f(x)

Vertical stretch with scale factor k

<p>Vertical stretch with scale factor k</p>
6
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y=f(k*x)

Horizontal stretch with scale factor 1/k

<p>Horizontal stretch with scale factor 1/k</p>
7
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y=-f(x)

Vertical reflection in the x-axis

<p>Vertical reflection in the x-axis</p>
8
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y=f(-x)

Horizontal reflection in the y-axis

<p>Horizontal reflection in the y-axis</p>