Chapter 4.5, Problem 59E

To determine

To graph: the given function.

Explanation of Solution

Given information:

Given function is

  $y=-2\sin \left(4x+\pi \right)$

Concept used:

For the standard equation is $y=a\sin \left(bx-c\right)+d$ .

Amplitude is $\left|a\right|$ and period is $\frac{2\pi }{b}$ .

Vertical shift is $d$ unit and horizontal shift is $\frac{c}{b}$

Calculation:

Consider the given function $y=-2\sin \left(4x+\pi \right)$ .

Amplitude is $\left|a\right|=2$ and period is $\frac{2\pi }{b}=\frac{2\pi }{4}=\frac{\pi }{2}$ .

Now let us sketch the graph of the given function,

  $>-2\sin \left(4x+\pi \right)$