Given the function f(x)=3x-5, write the new equation of the line under the transformation f(3x) and give a verbal description.

Question

Given the function f(x) = 3x-5, write the new equation of the line under the transformation f(3x) and give a verbal description.

Answer 1

The transformation to f(3x) simply means to plug in 3x for x in the original equation:

 

f(3x) = 3(3x) - 5  or   9x - 5.

 

The result of this of this transformation is to increase the slope by a factor of 3 while maintaining the same y-intercept at (0, -5).