Graph the equation. $( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9$

Question

Quizplus · Accepted Answer

The equation is in the standard form of a circle, which is:
$$(x - h)^2 + (y - k)^2 = r^2$$
where $(h,k)$ is the center of the circle and $r$ is the radius.

Comparing the given equation with the standard form, we can see that:
- $(h,k) = (2,3)$, which means the center of the circle is at the point $(2,3)$.
- $r = 3$, which means the radius of the circle is 3 units.

To graph the circle, we can plot the center point at $(2,3)$ and then draw a circle with radius 3 units around it. This gives us the circle shown in choice B. The other choices do not correctly represent the given equation.

Graph the Equation (x−2)2+(y−3)2=9( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9(x−2)2+(y−3)2=9

Graph the Equation $( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 9$