Question

Write the standard equation of the circle in the graph.

A. (x + 3)squared + (y - 2)squared = 9
B. (x - 3)squared + (y + 2)squared = 9
C. (x - 3)squared + (y + 2)squared = 18
D. (x + 3)squared + (y - 2)squared = 18

Help please! :)

Answer 1

the circle centre appears to be (3, -2) and the radius is r = 3

so the general form of a circle is

\[(x - h)^2 + (y - k)^2 = r^2\]

the centre is (h, k) and r is the radius

just substitute the information for the centre and radius into the general equation.

Answer 2

center of circle is (3,-2)
in (3,-2) it is tangent to x-axis so radius =3

Answer 3

if (h, k) is the center, then
the equation is
\(\large (x-h)^2+(y-k)^2=r^2 \), where r is the radius
plug those values in...

Answer 4

its B ;)

Answer 5

Thank you guys. :)