Graph a logarithmic function with multiple transformations

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👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a logarithmic function, it is usually useful to first graph the parent function (without transformations). This can be done by choosing 2-3 points from the function and plotting them on the x-y coordinate axis to see the nature of the parent function's graph.
After graphing the parent function, we then apply the given transformations to obtain the required graph. When a constant is added to x in the function, the graph of the parent function shifts to the left by the same units as the constant added to x. Similarly, when a constant is subtracted from x in the function, the graph of the parent function shifts to the right by the same units as the constant subtracted from x.
When a constant is added to the function, the graph of the parent function shifts upwards by the same units as the constant added to the function. Similarly, when a constant is subtracted from the function, the graph of the parent function shifts downwards by the same units as the constant subtracted from the function.

Organized Videos:
✅How to Graph Logarithmic Functions
✅How to Graph Logarithmic Functions with Vertical Shift
✅How to Graph Logarithmic Functions in Different Bases
✅How to Graph Logarithmic Functions | Learn About
✅How to Graph Natuarl Logarithmic Functions with Transformations
✅How to Graph Logarithmic Functions with Horizontal Shift
✅How to Graph Logarithmic Functions with Transformations

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this guy and the organic chemistry tutor are the only ones helping me through high school

bzgamer
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what if you have a number in front of the x? Basically, using your example, what would happen if you had y=log base 2 (3x-4)+3?

emiliawilkinson
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Hello, can you help me out to draw the graph of y=log(3-x)?

ShakilAhmed-zisq