Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = 2 + 3 sin θ

choices:
no symmetry
y-axis only
x-axis only
origin only

Step-by-step explanation:

The given equation is

Notice that this equation is in polar form.

If can be replace with or , then the graph is symmetric to the line , which is a vertical line.

Let's evaluate the given equation.

But,

So,  

Notice that the change produces the same equation.

Therefore, the given polar expression is symmetric to , which is the y-axis only in the coordinate system.

So, the right answer is y-axis only.

14

step-by-step explanation:

answer:

step-by-step explanation: