Higher Engineering Mathematics

198 GRAPHS

− 2 2

− 10

− 20

10

20

− 4 x

y

(c)

y = −(x+2)^3

0

− 2 2

− 10

− 20

10

20

− 4 x

y

(d)

0

y = 5 −(x+2)^3

Figure 19.22 (Continued)

Figure 19.22(c) shows a graph ofy=−(x+2)^3

(see−f(x), Section (v) above). Figure 19.22(d)

shows the graph of y= 5 −(x+2)^3 (see

f(x)+a, Section (ii) above).

(b) Figure 19.23(a) shows a graph ofy=sinx.
Figure 19.23(b) shows a graph ofy=sin 2x
(seef(ax), Section (iv) above).
Figure 19.23(c) shows a graph ofy=3 sin 2x
(see af(x), Section (i) above). Figure 19.23(d)
shows a graph ofy= 1 +3 sin 2x(seef(x)+a,
Section (ii) above). Figure 19.23