Question

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

f(x) = 2x + 9
g(x) = 2x - 15

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

Answer 1

I think these are both parallel lines because the slope is 2

Answer 2

In general,
if
q(x)=f(x)+k, then q(x) is higher than f(x) by k units.
(watch sign of k).
If k is negative, then q(x) is lower.

Answer 3

@Bee_see why solve for n?

Answer 4

Sorry mathmate I don't understand what your saying.

Answer 5

I thought it would be go down 8, but my dad thinks its 24

Answer 6

we are going to go down from 9, right? so n is how many times you go down to get to -15. you can also do a number like if you want

Answer 7

Ohh, so the answer is 24

Answer 8

yes

Answer 9

okay thanks :D

Answer 10

New position - old position = shift = g(x)-f(x) = -15-(9)=-24 ,
negative means down, so down 24 units.