"If the graph of y=f(x) passes through the point (-1/2,-2/3), then the graph of y=|f(x)| must pass through the point _____."

I don't know how to graph a graph given only one point... :/ I've tried to look stuff up but haven't found anything similar to this problem. I really just don't even know where to start.

Aleguan
Jun 14, 2017

#1**+1 **

If y = f(x) , we can say this will pass through the point

( x , f(x) ) And they tell us that when x = -1/2 , f(x) = -2/3

( -1/2 , -2/3 )

If y = | f(x) | , we can say this will pass through the point

( x , | f(x) | ) And they tell us that when x = -1/2 , f(x) = -2/3

( -1/2 , | -2/3 | )

( -1/2 , 2/3 )

I hope this made some sense!

hectictar
Jun 14, 2017

#1**+1 **

Best Answer

If y = f(x) , we can say this will pass through the point

( x , f(x) ) And they tell us that when x = -1/2 , f(x) = -2/3

( -1/2 , -2/3 )

If y = | f(x) | , we can say this will pass through the point

( x , | f(x) | ) And they tell us that when x = -1/2 , f(x) = -2/3

( -1/2 , | -2/3 | )

( -1/2 , 2/3 )

I hope this made some sense!

hectictar
Jun 14, 2017

#2**+2 **

Hm. Okay, thanks. That helps. I'm not sure *why* we switch y with x but I think I'll be able to remember that it's what we do anyways so thanks! :)

Aleguan
Jun 14, 2017