Question

identify the correct graph of the circle. (x + 3)² + (y + 1) = 16I have to send the graphs in message

Answer 1

The general form of a equation of a circle is:

`(x-h)^2+(y-k)^2=r^2`

Where:

r is the radius of the circle

(h,k) are the coordinates of the center of the circle

Then, the given equation:

`(x+3)^2+(y+1)^2=16`

The radius and the coordinates of the center are:

`\begin{gathered} r=4 \\ h=-3 \\ k=-1 \\ \\ \mleft(-3,-1\mright) \end{gathered}`

Then, the graph for this circle is: Photo number 2