John and David graphed a circle with center (-3,1)
and radius 7. John claims the equation of this circle
is (x-3)2 + (y+1)2 = 49. David claims the equation
must be (x+3)2 + (y-1)2 = 14. In 2-3 complete
sentences, justify whether John or David is correct,
or if neither of them are correct.
Your answer

Respuesta :

Neither of them are fully correct because the equation of a circle is:

[tex](x - h) ^{2} + (y - k) ^{2} = r ^{2} [/tex]

h = x value of center coordinate

k = y value of center coordinate

r = radius

Therefore, the correct equation of the circle is:

[tex](x + 3) ^{2} + (y - 1) ^{2} = 49[/tex]

David had the correct values in each of the parentheses while John had the correct value on the right side of the equation.