(x2 - 10x + 25) + (y2 - 16y +64) = 16
center (, )
radius =

The standard equation for a circle is 

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

where the center is at point (h,k) and r is the radius.

To investigate this, check first if the quadratic equations are a perfect square. This is determined by dividing the middle term by 2 and taking its square. If it equals to the third term, it is a perfect square.

For (x^2 - 10x +25): (-10/2)^2 = 25 (perfect square)
For (y^2 - 16y + 64): (-16/2)^2 = 64 (perfect square)

Then, we simplify the equation by factoring:

(x - 5)^2 + (y -- 8)^2 = 16

Thus, the center is at point (5,8)
Also, the radius is square root of 16, which is 4.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.