Given the Graph of Y = F(x): Sketch the Graph

Essay

Given the graph of y = f(x): Sketch the graph of each of the following functions:
(a) $- f ( x )$
(b) $f ( - x )$
(c) $f ^ { \prime } ( 2 x )$
(d) $2 f ( x )$
(e) $- f ( - x )$
(f) $f \left( \frac { 1 } { 2 } x \right)$
(g) $\frac { 1 } { 2 } f ( x )$
(h) f $( x + 1 )$
(i) $f ( x ) -$ 1
(j) 1 $- f ( x )$