Question

(6.12,1 pt) Identify the center of the circle defined by the equation (x + 4)2 + (y – 1)2 = 32 Math symbols ► Relations ► Geometry ► Groups ► Trigonometry ► Statistics ▸ Series Greek

Answer 1

`(x+4)^2+(y-1)^2=32`

The center-radius form of the circle equation is in the format :

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

where h and k are the coordinates of the centere and r is the radius of the circlle.

In the given equation:

`(x+4)^2+(y-1)^2=32`

we can see that :

`\begin{gathered} h=-4 \\ k=1 \\ r^2=32 \end{gathered}`

Thus, the coordinates of the center of the circle is:

`C(-4,1)`