HSC Together Year 11 Maths Advanced: Graphing Logarithmic Functions and its Transformations

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
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# Graphing Logarithmic Functions and its Transformations

### How do I graph a logarithmic function with its transformations?

In this post, we will be graphing logarithmic functions y = log_{a}x for a > 0 and its transformations   y = k log_{a}x + c , using technology or otherwise, where k and c are constants and recognise that the graphs of y = a^{x} and y = log_{a}x are reflections in the line y = x , as a part of the Prelim Maths Advanced course under the topic Exponential and Logarithmic Functions and sub-part Graphs and Applications of Exponential and Logarithmic Functions.

The following two videos cover the step-by-step process when graphing a logarithmic function with transformations.

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