Question

The functions f(x) and g(x) are described below:

f(x) = 7x + 9
g(x) = 7x − 4

The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.

Answer 1

let's say you have
f(x)=ax+b
b is a translation in the positive y direction, of b units
a is a stretch factor of a, parallel to the y axis
f(x)=ax-b
-b is a translation in the negative y direction of b units
a is a stretch factor of a, parallel to the y axis

so f(x)=3x+9 would be translated 9 units in the positive y direction
and stretched by a factor of 3 in the y axis


so if I had 2 functions
f(x)=3x+9
g(x)=3x+6
I have the same stretch factor, but different translations
so the translation is the difference of 9 and 6
9-6=3
hence it must be translated 3 units
since im going from 9 to 6, im going down, so i will translate it in the negative y directions hence i must translate my graph 3 units in the negative y direction


sooooo
go back to your question

if you have

f(x)=7x+9
g(x)=7x-4

what did you translate by to get from 9 to -4

Answer 2

can you show me how to do it

Answer 3

hi every one on the internet