# How do you use the amplitude and period to graph  3cos2x+4 ?

Amplitude $= 3$
Period $= \pi = 3.141592653$

#### Explanation:

From the Trigonometric Function of this form $y = a \cos \left(b x - c\right)$
Amplitude $= \left\mid a \right\mid$
Period $= \frac{2 \pi}{\left\mid b \right\mid}$

From the given, Let $y = 3 \cos 2 x + 4$

Let $a = 3$ and $b = 2$

Amplitude $= \left\mid a \right\mid = \left\mid 3 \right\mid = 3$
Period $= \frac{2 \pi}{\left\mid b \right\mid} = \frac{2 \pi}{\left\mid 2 \right\mid} = \pi = 3.141592653$

the $4$ is the vertical shift

Kindly see the graph

graph{y=3 cos (2x)+4[-25,25,-10,10]}

Have a nice day!