Determine the equation of the circle graphed below.
x
y
Circle Standard Form:
Circle Standard Form:
Center: left bracket h,k right bracket, Radius: r
Center: (h,k)Radius: r
left bracket, x, minus, h, right bracket, squared, plus, left bracket, y, minus, k, right bracket, squared, equals, r, squared
(x−h)
2
+(y−k)
2
=r
2

Center: , left bracket, minus, 3, comma, minus, 5, right bracket, Radius: 3
Center: (−3,−5)Radius: 3
The Equation: left bracket change signs right bracket
The Equation: (change signs)
left bracket, x, plus, 3, right bracket, squared, plus, left bracket, y, plus, 5, right bracket, squared, equals, 9
(x+3)
2
+(y+5)
2
=9
how did they find the 9