How do you write the equation for a circle with center of circle (-3,0) radius with endpoint (3,0)?
The equation of a circle is
If the center is at
We can substitute
#(x-h)^2 + (y-k)^2 = r^2#
#(x- color(blue)((-3)))^2 + (y-color(blue)0)^2 = color(red)6^2#
#(x+3)^2 + y^2 = 36#
We can check this by graphing. The center of the circle is at