Question

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

Answer 1

Answer:

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:

$\begin{gathered} \text{Period = }\frac{2\pi}{|B|} \\ \\ \text{Period = }\frac{2\pi}{\frac{2}{3}}\text{ = 2}\pi\times\frac{3}{2}\text{ = 3}\pi \end{gathered}$

The period is the distance from peak to peak

C and D has a value of 0

We have the plot as follows;