Question

Please help me solve this..if the point (8,-4) is on the graph of y=f(x). find the corresponding point on the graph of g(x)=f(4)

Answer 1

How are f(x) and g(x) connected?

Answer 2

Find the corresponding point on the graph of g(x)=f(4x)

Answer 3

Does it provide you a graph?

Answer 4

No

Answer 5

I might be wrong, but it seems like something is missing. I'm not sure what though.

Answer 6

hmm

g(x) = f(4x)

Answer 7

I'm kind of confuse myself, don't even know where to start

Answer 8

(8,-4) lies on f(x)

Answer 9

so x = 8, y = -4

Answer 10

g(x) = f(4x)

g(x) = f(4*8)

g(x) = f(32)

then I get stuck. So I'm probably going the wrong way

Answer 11

or

g(x) = f(4x)

g(2) = f(4*2) ... plug in x = 2

g(2) = f(8)

g(2) = -4

Answer 12

ok yeah I figured it out

Answer 13

if you were to plug in x = 2 into g(x) = f(4x), you get g(2) = -4

So that means when x = 2, g(x) = -4

therefore, we know for sure the point (2,-4) lies on g(x)

Answer 14

And why using x=2

Answer 15

well we know for sure that f(8) = -4

this is given from the point (8,-4) that lies on f(x)

Answer 16

then we're given g(x) = f(4x)

so I want to make that 4x into 8

that happens when x = 2

Answer 17

ok

Answer 18

you kinda have to start with what you have, and with what you want and try to find a midway meeting point

or start with what you want and work backwards to connect it to what you have

Answer 19

that's one way to think of it

Answer 20

Makes sense, thanks.

Answer 21

you're welcome