Question

Graph the function f(x) = -4sin (-2x/3) on the graph below.

Answer 1

Step-by-step explanation:

Here, we want to plot the graph of the given function

The general equation of a sine graph is:

`y\text{ = Asin(B(x-C)) + D}`

A is the amplitude which translates to a value of 4 here

B can be calculated as follows:

`\begin{gathered} \text{Period = }(2\pi)/(|B|) \\ \\ \text{Period = }(2\pi)/((2)/(3))\text{ = 2}\pi*(3)/(2)\text{ = 3}\pi \end{gathered}`

The period is the distance from peak to peak

C and D has a value of 0

We have the plot as follows;