if a>0, the graph
expands horizontally by a factor of a
expands vertically by a factor of a
compresses horizontally by a factor of a
compresses vertically by a factor of a
if 0<a<1, the graph
compresses vertically by a factor of a
compresses horizontally by a factor of a
expands vertically by a factor of a
expands horizontally by a factor of a
if a<0, the graph
reflection in the x-axis
reflection in the y-axis
if k<0, the graph
reflection in the x-axis
reflection in the y-axis
if k>1, the graph
compresses vertically by a factor of k
expands horizontally by a factor of 1/k
compresses horizontally by a factor of 1/k
compresses horizontally by a factor of k
if 0<k<1, the graph
compresses horizontally by a factor of 1/k
compresses horizontally by a factor of k
expands horizontally by a factor of 1/k
expands horizontally by a factor of k
if c>0, the graph
moves up c units
moves down c units
moves right c units
moves left c units
if d>0, the graph
moves up by d units
moves down by d units
moves left by d units
moves right by d units
if c<0, the graph
moves up by c units
moves down by c units
moves left by c units
moves right by c units
if d<0, the graph
moves up by d units
moves down by d units
moves left by d units
moves right by d units