Determine the equation of the circle graphed below.

Answer:
Step-by-step explanation:
(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}(x−h)
2
+(y−k)
2
=r
2
here
r = 7. (the circle is symmetrical with y - axis )
h = 0. and k = 1
Thus equation of circle is,
(x - 0) {}^{2} + (y - ( - 1)) {}^{2} = {7}^{2}(x−0)
2
+(y−(−1))
2
=7
2
x^2 + (y+1)^2 = 49