what is f(x)=12x+6 compressed vertically by a factor of 1/3

Question

I need the answer, stat!

Answer 1

When you compress it vertically, it is the same as stretching it horizontally.  When you stretch a function horizontally, the f(x) values get smaller and smaller.  So to make f(x) smaller, multiply the function by (1/3).

 

 

(1/3)f(x) =

 

(1/3)(12x + 6) =

 

 4x + 2

Answer 2

f(x) = 4x + 6

Answer 3

compressing vertically by a factor of 1/3 is the same as expanding vertically by a factor of 3.  Vertical dilations represent a multiplier of the x term in this case.  A vertical expansion by a factor of 3 of the given function is as follows:  f(x) = 3(12)x + 6 = 36x + 6.

Note that if the problem was meant to say that the function is compressed by a factor of 3, the resulting equation would be f(x) = 4x + 6.