Final answer:
The equation r = 3/2 - sinθ represents a cardioid. To graph it, plot points using different values of θ and calculate r using the equation. Then connect the plotted points to form a curve.
Step-by-step explanation:
The equation r = 3/2 - sinθ represents a cardioid, which is a type of conic section. A cardioid is a curve formed by a point on a circle as it rolls around another fixed circle. To sketch its graph, we can plot points by assigning different values to θ and calculating r using the given equation. Then, we connect the plotted points to form a curve.