Answer:
The coordinates of the center of this circle are (4,−3).
Step-by-step explanation:
The equation of a circle in the form (x − h)^2 + (y − k)^2 = r^2 represents a circle centered at the point (h , k) with a radius r.
In your equation (x − 4)^2 + ( y + 3)^2 = 9 , the center of the circle is at the point (h , k) = (4,−3). Therefore, the coordinates of the center of this circle are (4,−3).
Answer:
[tex] (4, -3) [/tex]
Step-by-step explanation:
The equation of a circle in the standard form is:
[tex] \Large\boxed{\boxed{(x - h)^2 + (y - k)^2 = r^2}} [/tex]
Where
In the given equation:
[tex] (x - 4)^2 + (y + 3)^2 = 9 [/tex]
We can identify that [tex](h, k) = (4, -3)[/tex] by comparing the standard equation of the circle., as [tex](h, k)[/tex] are the coordinates of the center of the circle.
So, the correct coordinates of the center of this circle are [tex](4, -3)[/tex].
The correct response is:
[tex] (4, -3) [/tex]
