Question

the point (-2,-5) lies on the graph of g(x). What point must lie on the graph of g(2x)

Answer 1

i thought it was (-4,0)

Answer 2

it only effects the x right?

Answer 3

lets do an example k?

Answer 4

let's pretend with have a linear equation and lets say (-2,-5) and (0,5) lie on this line.
so the slope is {5-(-5)}/{0-(-2)}=10/2=5
so we have y=5x+b and we know a point on this line (0,5)
so we have 5=0+b so the y intercept b=5
so the equation of the line through those two points are y=5x+5
so let g(x)=5x+5
g(-2)=5(-2)+5=-10+5=-5
if x=-2 then
g(2*(-2))=5(-2)+5=-10+5=-5
so (-4,-5)
yes you are right it only affects the x

Answer 5

wait oops sorry mistake

Answer 6

g(2*(-2))=5(-4)+5=-20+5=-15
(-4,-15)

Answer 7

it doesn't only affect the x i;m sorry for saying that in that previous post

Answer 8

i have no clue i'm sorry i don't know how to find g(-4) given no other information
then g(-2)=-5

Answer 9

You know that (-2,-5) is on the graph of g(x). So, what about the point g(2(-1)). Plug x=-1 on the function g(2x), you get g(2(-1))=g(-2)=-5. Hence (-1,-5) is a point on the graph of g(2x).

Answer 10

Another way to see that, is by looking at the function g(2x). You can see that only values of is affected. Set 2x=-2 and solve for x, you get x=-1, which is the same value we got above. S again (-1,-5) is a point on g(2x).

Answer 11

omg i'm so stupid

Answer 12

Haha.. we all have such moments :P