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Mathematics 15 Online
OpenStudy (explainitlikeimfive):

Use the graph of log\/5x to obtain the graph of f(x) = 2 + log\/5x.

OpenStudy (explainitlikeimfive):

OpenStudy (debbieg):

Given the graph of y=f(x), the graph of y=f(x)+a is a vertical shift of a units up (or down |a| units if a<0). Make sense? So you are looking for the graph that takes the original graph and "slides it up" 2 units.

OpenStudy (debbieg):

And don't for get that any function of the form \[y=\log_{b}x \] has a vertical asymptote at the y-axis, and an x-intercept at x=1.

OpenStudy (explainitlikeimfive):

I think its C

OpenStudy (debbieg):

Why? Where is the x-intercept on C? Where should it be for the function you are looking for? Remember - if you shift up a function 2 units, it will not change the vertical asymptote but it WILL shift up the x-intercept.

OpenStudy (explainitlikeimfive):

In that case, it has to be A.

OpenStudy (debbieg):

Very good. :)

OpenStudy (explainitlikeimfive):

Thanks

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