The graph of y=f(x) is shown below.
The graph of y=g(x) is shown below.What is g(x) in terms of f(x)? For example, if you think g(x)=f(x)+1 enter " f(x)+1", without quotation marks.
Thanks, and does use locating points on the graph?
Note that the point (2, 0) is on f(x)
And the corresponding point on g(x) is (4, - 4)
So g(x) is the graph of f(x) shifted down 4 units and vertically " stretched" by a factor of 2
So
g(x) = f(2x) - 4
Close...
We can obtain the graph of \(y=g(x)\) by taking the graph of \(y=f(x)\) and stretching it horizontally by a factor of 2, then shifting it down by 4 units. Therefore, \(g(x) = \boxed{f \left( \frac{x}{2} \right) - 4}.\)
Isn't this correct?
+885 
