Question

Which of the following is thegraph of(x + 3)2 + (y + 1)2 = 9 ?AB22-2022-24

Answer 1

`(x+3)^2+(y+1)^2\text{ = 9}`

The equation above is an equation of a circle

The equation can be written as follow.

`\begin{gathered} (x+3)^2+(y+1)^2=3^2 \\ \text{Next compare with } \\ (x-a)^2+(y-b)^2=r^2 \\ r\text{ is the radius and ( a, b ) is the center.} \end{gathered}`

Therefore,

Radius r = 3 and center = (-3, -1)