Question

A polar graph is shown. Which of the equation shown represent the graph?

Answer 1

Given the Polar Graph, you can identify that it is a Vertical Cardioid. Then, its equation has this form:

$r=a\pm bsin\theta$

In this case, you can identify that it has an inflection point upwards. Therefore, its equation will have this form:

$r=a-bsin\theta$

Where:

$\begin{gathered} a>0 \\ b>0 \\ \\ \frac{a}{b}=1 \end{gathered}$

Notice that for the equation:

$r=3-2sin\theta$

If you set up that:

$r=0$

And solve for "r", you get:

$0=3-2sin\theta$$0=3-2sin\theta$