![[Graphics:c1hwk2q4gr2.gif]](c1hwk2q4gr2.gif)
![[Graphics:c1hwk2q4gr1.gif]](c1hwk2q4gr1.gif)
The graph of f
![[Graphics:c1hwk2q4gr3.gif]](c1hwk2q4gr3.gif)
The graph of f(x+4) is obtained from that of f by means of a horizontal shift through 4 units to the left.
![[Graphics:c1hwk2q4gr4.gif]](c1hwk2q4gr4.gif)
The graph of f(x)+4 is obtained from that of f by means of a vertical shift through 4 units upwards.
![[Graphics:c1hwk2q4gr5.gif]](c1hwk2q4gr5.gif)
The graph of 2f is obtained from that of f by means of a vertical magnification by factor 2.
![[Graphics:c1hwk2q4gr6.gif]](c1hwk2q4gr6.gif)
The graph of -f/2+3 is obtained from that of f by means of a vertical magnification by factor 1/2, followed by a reflection in the x-axis, followed by a vertical shift upwards through 3 units.
![[Graphics:c1hwk2q4gr7.gif]](c1hwk2q4gr7.gif)