16 terms

Transformations of Logarithmic Functions

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y=logx+3
3 units up
y=logx-4
4 units down
y=log(x-2)
2 units right
y=log(x+1)
1 unit left
y=6logx
vertical stretch by 6
y=1/2logx
vertical compression by 1/2
y=log(1/5x)
horizontal stretch by 5
y=log(3x)
horizontal compression by 1/3
y=-logx
reflection across x-axis
y=log(-x)
reflection across y-axis
vertical translation
f(x)+k
horizontal translation
f(x-h)
vertical stretch or compression
af(x)
horizontal stretch or compression
f(1/bx)
reflection over x-axis
-f(x)
reflection over y-axis
f(-x)