what does the transformation ( f(x)\to2f(x) ) do to the graph of ( f(x) )?\n\nstretches it…

Brief Explanations:

For a function ( y = f(x) ), when we have a transformation ( y = af(x) ) (where ( a>1 )), it is a vertical stretch. Here ( a = 2>1 ). A vertical stretch means that for each ( x)-value, the ( y)-value of the function is multiplied by ( 2 ). So the graph of ( y = 2f(x) ) is a vertical stretch of the graph of ( y=f(x) ). Horizontal stretches/shrinks are of the form ( y = f(bx)) where ( b\neq1 ). Vertical shrinks are of the form ( y=cf(x)) where ( 0 < c<1 ).

Answer:

stretches it vertically