y=|f(x)| means that...
all y values are positive.
all y values are negative.
all x values are positive.
all x values are negative.
For y=f(|x|) you draw the graph for 0<x and then...
reflect this in the y axis.
reflect this in the x axis.
reflect in the line y=x.
reflect in the line y= -x
f(x+a) is...
a horizontal translation of -a.
a vertical translation of a.
a horizontal stretch of scale factor 1/a.
a vertical stretch of scale factor a.
f(x)+a is...
f(ax) is...
af(x) is...