Why is the graph of the rose curve r=4cos2theta

The correct answer is B.

Step-by-step explanation:

Any point can be represented in polar form by using the notation:

(1)

And any polar function must satisfy the following definition:

Let , where is the radial distance of any point of the curve from origin and is the direction of any point of the curve with respect to +x semiaxis, measured in radians.

Finally, we proceed to graph the function with the help of a graphing tool and attach the result.

Besides, we must remember that cosine is a bounded function, which means that domain and range in rectangular coordinates are represented by:

,

Then, the correct answer is B.