#" "#

To graph #color(red)(f(x)=1+Cos(x)#,

start working on it's **Parent Function** #color(blue)(f(x) = Cos(x)# first.

Make a **table of values** for #f(x)=Cos(x) and f(x)=1+cos(x)#

For #color(red)(x#, consider the values #color(red)(0, pi/2, pi, (3pi)/2 and 2pi#.

If you examine #color(green)("Col 4" and "Col 5"#, you see that **the difference is 1.**

#color(red)("Graph of y = f(x) = Cos(x)"#

#color(red)("Graph of y = f(x) = 1 + Cos(x)"#

#color(red)("Graph of y = f(x) = Cos(x)")# & #color(blue)("y = f(x) = 1 + Cos(x)"#

Use #color(green)(y=A*sin(Bx+C)+D# [ or ]

use #color(green)(y=A*cos(Bx+C)+D#,

where, **Amplitude is ** #|A|#

**Period is ** #(2pi)/B# and

**Vertical Shift is **#D#

Since #D=1#, the graph is shifted vertically by 1 unit.

If #D# is given, the value of #D# is responsible for a **vertical shift**.

Hope it helps.