<u><em>The third one is correct.</em></u> You cannot figure it out from the parent function, |x|, because they are all the same. As a result, you have to figure it out from the y-intercept. The y-intercept of a function most of the time is the <em>constant</em> of the function. The y-intercept here is <em>0.5</em>. Using this, you can find the corresponding graph. That would be the <u><em>third </em></u><u><em /></u><em /> option.
Background: log (a . b) = log a + log b hence log(10000x) = log 10000 + log x but we know that log 10000 = 4 = 4 + log x therefore the graph of log(10000x) is just the graph of log x transposed by 4
