Question

Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]

Answer 1

C on edge 2022

Explanation:

Answer 2

We have been given graph of a limacon curve. We are asked to choose the equation that represents the given Limacon.

We can see that our given equation represents a cardiod. The equation of a vertical cardiod is in form
`r=a\pm a\cdot \text{sin}(\theta)` and equation of a horizontal cardiod is
`r=a\pm a\cdot \text{cos}(\theta)`.

We can see that our given graph is a vertical cardiod, so its equation will be in form
`r=a\pm a\cdot \text{sin}(\theta)` .

The positive sign gives an upside-down cardiod and negative sign orients the cardiod upright.

Since our given graph is upright, so we will have a negative sign between 'a'.

Therefore, the equation
`r=2-2\cdot \text{sin}(\theta)` represents the given graph and option 'd' is the correct choice.