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 \\ \\ (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`