Question

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=6
D. (x+6)²+(y+8)²=36

Answer 1

The equation represented by a graph centered at (-6, -8) and including the point (0, -8) is (x+6)²+(y+8)²=36.

Step-by-step explanation:

The equation represented by a graph centered at (-6, -8) and including the point (0, -8) is (x+6)²+(y+8)²=36, which is option D.

To determine this, we need to understand that the equation for a circle centered at (h, k) with radius r is (x-h)²+(y-k)²=r². In this case, the center is (-6, -8) and the radius is √36=6, so the equation is (x+6)²+(y+8)²=36.