Match the given polar equarions with the given graphs **Match the polar equations (a), (b), and (c) with their respective curves from (i), (ii), and (iii) below:**(a) \( r = -1 + 2 \sin(\theta) \)(b) \( r = -2 \cos(3\theta) \)(c) \( r = 3 \sin(\theta) - 2 \cos(\theta) \) The image displays three distinct graphs, each labeled with Roman numerals:1. **Graph (i):** This graph depicts a polar plot often referred to as a "three-leaved rose." The plot extends symmetrically along the axes in a petal-like pattern. Each petal crosses the origin, creating a trifold symmetry.2. **Graph (ii):** This graph illustrates a circle centered at the origin (0,0) in the Cartesian plane. The circle is complete and perfectly symmetric, depicting a standard geometric shape.3. **Graph (iii):** This graph shows a shape known as a "cardioid." The curve features a heart-like form with a cusp at the origin. The cardioid is symmetric along the vertical axis and includes an inner loop at the bottom.Each graph is overlaid on a grid to assist in identifying the symmetry and dimensions of the curves. The x and y axes are marked at regular intervals.

Name: Match the given polar equarions with the given graphs **Match the pola
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Match the given polar equarions with the given graphs **Match the polar equations (a), (b), and (c) with their respective curves from (i), (ii), and (iii) below:**(a) \( r = -1 + 2 \sin(\theta) \)(b) \( r = -2 \cos(3\theta) \)(c) \( r = 3 \sin(\theta