Answer
$(x)^2+(y+\frac{1}{2})^2=\frac{1}{4}$,
$ x^2+y^2+y=0$,
See graph.
Work Step by Step
Step 1. Based on the given data, we can write the standard form as $(x)^2+(y+\frac{1}{2})^2=\frac{1}{4}$,
Step 2. The general form is $4(x)^2+(2y+1)^2=1\longrightarrow x^2+y^2+y=0$,
Step 3. See graph.