Use the graphing tool to see what happens to the logarithmic (log base 10) function when you change more than one parameter at a time. In what ways is this new graph different from the parent graph of f (x) = log (x) ? Write down your observations for each of these transformed functions. Then try a few of your own.

Question

Nathanial Byrd

Mathematics

6 January, 13:41

Use the graphing tool to see what happens to the logarithmic (log base 10) function when you change more than one parameter at a time. In what ways is this new graph different from the parent graph of f (x) = log (x) ? Write down your observations for each of these transformed functions. Then try a few of your own.

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Violet Bishop · Answer 1

The parent graph of g (x) = 5 log (x + 1) shifts one unit to the left and is stretched vertically by a factor of 5.

The parent graph of g (x) = 1/5 log (1/7 x) is stretched horizontally by a factor of 7 and then compressed vertically by a factor of 1/5.