Respuesta :

Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is [tex]r=a[/tex] ± [tex]a\sin \theta[/tex]

Given the polar curve is [tex]r=[/tex] [tex]1+[/tex] 4 [tex]\sin \theta[/tex]

This is an equation of vertical cardioid.

So, it represents a cardioid.

Answer:

C - a limaçon with an inner loop

Step-by-step explanation:

If you have a graphing calculator, use it to plug in the equation.

Based on what you have learned, you will recognize the graph is C