Graph the function $$y = - 6 + \log _ { 2 } x$$ . Remember that the graph of $$f ( x ) = \log _ { 2 } x$$ is given.

Question

Quizplus · Accepted Answer

To graph $$y = - 6 + \log _ { 2 } x$$, we need to shift the graph of $$f(x) = \log_2 x$$ down 6 units. This can be done by subtracting 6 from each of the y-coordinates of the points on the graph of $$f(x) = \log_2 x$$.

The graph of $$f(x) = \log _2 x$$ passes through the points (1,0), (2,1), (4,2), and (8,3). If we subtract 6 from each y-coordinate, we get the following points: (1,-6), (2,-5), (4,-4), and (8,-3).

Therefore, the graph of $$y = - 6 + \log _ { 2 } x$$ is the graph of $$y = \log_2 x$$ shifted down 6 units. The correct graph is therefore option $\textbf{(B)}.$

Graph the Function y=−6+log⁡2xy = - 6 + \log _ { 2 } xy=−6+log2​x

Graph the Function $y = - 6 + \log _ { 2 } x$