Topics
4. Logarithmic and exponential functions
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AustraliaVIC
VCE 12 Methods 2023

4.08 Transformations of logarithms

Lesson
Worksheet
Practice

Interactive practice questions

Which of the following options shows the graph of $y=\log_3x$y=log3​x after it has been translated $2$2 units up?

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A

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B

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C

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D
Easy
< 1min

The graph of $y=\log_6x$y=log6​x is translated to create the graph of $y=\log_6x+4$y=log6​x+4.

Easy
< 1min
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Outcomes

U34.AoS1.14

identify key features and properties of the graph of a function or relation and draw the graphs of specified functions and relations, clearly identifying their key features and properties, including any vertical or horizontal asymptotes

U34.AoS1.18

sketch by hand graphs of polynomial functions up to degree 4; simple power functions, y=x^n where n in N, y=a^x, (using key points (-1, 1/a), (0,1), and (1,a); log x base e; log x base 10; and simple transformations of these

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