Answer:
[tex](x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]
Step-by-step explanation:
The vertex form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h,k) is the center of the circle and r is the radius. This circle has center (-6.2, 5.8) and r= 4/9. Substitute h = -6.2, k = 5.8 and r = 4/9 into the vertex form. Then simplify for the equation.
[tex](x-h)^2 + (y-k)^2 = r^2\\(x--6.2)^2 + (y-5.8)^2 = \frac{4}{9}^2\\ (x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]
