SOLUTION: The graph of a function y+f(x) is vertically expanded by a factor of 2. Find the equation of this expanded function in terms of function f(x)

Algebra ->  Functions -> SOLUTION: The graph of a function y+f(x) is vertically expanded by a factor of 2. Find the equation of this expanded function in terms of function f(x)      Log On


   

Question 1074921: The graph of a function y+f(x) is vertically expanded by a factor of 2.
Find the equation of this expanded function in terms of function f(x)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The expanded function y=g%28x%29 is y=g%28x%29=2%2Af%28x%29 .
for every x, g%28x%29=2%2Af%28x%29 ,
so the points with f%28x%29%3E0 are twice as high above the x-axis,
and the points with f%28x%29%3C0 are twice as low below the x-axis.
The graph has been stretched vertically to twice as long
(while still firmly nailed at the points on the x-axis, if any).