Question

The graph of g(x) ​​is the graph of f(x)=5x+15 compressed horizontally by a factor of ​ 1/5 ​ .

Which equation describes the function g?


A) g(x)=x+3

​ B) g(x)=25x+15 ​

​ ​ C) g(x)=x+15 ​ ​

D) ​ g(x)=25x+75 ​

Answer 1

the answer is actually g(x)=25x+15 just took the test btw are you in k12?

Answer 2

Consider the value of f at x=2.

f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.

The graph of g is the graph of f compressed horizontally by a factor of 1/5.

So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).


All pairs (x, y) in f can be described by (x, 5x+15), thus, all pairs (x, y) in g can be described by (x, (5x+15)/5), that is (x, x+3). Thus, the rule for g is :

g(x)=x+3.


Answer: A) g(x)=x+3