SOLUTION: I need help understanding the following: If (-1,-4) is a point on the graph of y=f(x), what point do you know is on the graph of y=f(1/2x)? Would the answer be (-1/2,-2) si

Algebra ->  Functions -> SOLUTION: I need help understanding the following: If (-1,-4) is a point on the graph of y=f(x), what point do you know is on the graph of y=f(1/2x)? Would the answer be (-1/2,-2) si      Log On


   

Question 168036: I need help understanding the following:
If (-1,-4) is a point on the graph of y=f(x), what point do you know is on the graph of y=f(1/2x)?
Would the answer be (-1/2,-2) since it is 1/2 of (-1,-4)?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
We'll see shortly:
At points (-1,-4), and consider other points (0,0):

Slope=4, "m"
Thru points (-1,-4):
y=mx%2Bb, slope intercept form
-4=%28-1%294%2Bb
-4%2B4=0=b, y-intercept=0:
Then, the line eqn follows: y=4x
-->(y)=4x ---> points (-1,-4)
If (y)=(1/2)(x), then,
--->(y)=(1/2)x ----> points (-1,-1/2), ANSWER
Thank you,
Jojo