Answer:
The graph in the attached figure
Explanation:
we know that
The equation of a circle into center radius form is equal to
![(x-h)^(2)+(y-k)^(2)=r^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pef6vup9m8fe069mn7ia9hgp8m0ly3p5um.png)
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
![(x)^(2)+(y-4)^(2)=2.25](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z5r7s9pwrdwh1uu06r8x3pu5huzn4uhli0.png)
therefore
the center is the point
![(0,4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hh6ue0k94hifa29pscnfhxh8i7gsibqnsk.png)
the radius is
![√(2.25)=1.5\ units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3g3f5o7ntoethx9i6vhj0cq6i4steznun3.png)
using a graphing tool
see the attached figure