By multiplying the input of a function by a factor its graph can be horizontally stretched or shrunk. If every input value will be changed as though it was further away from than it really is. This leads to the graph being shrunk horizontally — every part of the graph is moved closer to the -axis. In the same fashion, leads to a horizontal stretch. The horizontal distance between the graph and the -axis is changed by a factor of
Note that -intercepts have the -value which is why they are not affected by this transformation.