Describe the graph of y = 3/4x - 12 as compared to the graph of y = 1/x

Solution:

The graph of function y = 1/x when multiplied by a factor 3/4 gives the result y = 3/4x.

The consequence of multiplying the graph 1/x by 3/4 contracts it by the factor 3/4.

Then by subtracting 12 from the function y = 3/4x the graph shifts down by 12 units.

The above is evident from the figure below.

Describe the graph of y = 3/4x - 12 as compared to the graph of y = 1/x

Summary:

The graph of y = 3/4x - 12 as compared to the graph of y = 1/x is contraction by the factor of 3/4 and shifting downwards by 12 units.