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.
We compress horizontally by a factor of 1/2, then shift to the left by 3/2, so g(x) = f(2x + 3/2).
g(x) is f(x) shifted 3/2 units left and compressed by a factor of 2
So
g(x) = f(2x + 3/2)
Good job! And, thank you