Question

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

Answer 1

Step-by-step explanation:

Here, we want to plot the graph of f(x)

The general equation of a sine graph is:

`y\text{ = A sin (Bx + C) + D}`

where A is the amplitude of the curve

B is -2

C is 0

D is 0

Mathematically, the period of the graph and B are related as follows:

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

What this means is that the distance between two peaks on the graph is pi

We have the plot as follows: