Suggestion

On which of the axes below is a sketch of the graph \[y = 2^{-x} \sin^2 (x^2)?\]

When are the functions \(2^{-x}\) and \(\sin^2 (x^2)\) positive, and when are they negative??

What is the \(y\) coordinate of the graph in the question when \(x=0\)?

When does the graph in the question meet the \(x\)-axis?