Question

2(x+3)^2+2(y)^2=32 what is the center point of the circle and how long is the radius

Answer 1

• center (-3, 0)
• radius 4

Explanation:

The standard form equation of a circle is ...

(x -h)^2 +(y -k)^2 = r^2 . . . . . . . . . center at (h, k), radius r

Divide your given equation by 2 to put it into standard form:

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

Comparing to the above, we see ...

• h = -3
• k = 0
• r = √16 = 4

The center point of the circle is (-3, 0); the radius is 4 units long.