Which of the following equations is represented by a graph that is centered at (- 6, - 8) and includes the point (0, - 8) ?
A. (x + 6) ^ 2 + (y + 8) ^ 2 = 6
B. (x - 6) ^ 2 + (y - 8) ^ 2 = 36
C. (x + 6) ^ 2 + (y + 8) ^ 2 = 36
D. (x - 6) ^ 2 + (y - 8) ^ 2 = 6

Respuesta :

Answer:

C.

Step-by-step explanation:

As the center is (-6, -8) the 2 factors on the left will be (x + 6) and (x + 8) so it's either A or C.

When x = 0 y = -8 so substituting we have:

(0 + 6)^2 + (-8 + 8)^2 = 36 + 0 = 36.

So it's choice C.