Use the​ center, vertices, and asymptotes to graph the hyperbola. Locate the foci and find the equations of the asymptotes. left parenthesis x minus 3 right parenthesis squared minus 36 left parenthesis y plus 3 right parenthesis squaredequals36 Question content area bottom Part 1 Graph the hyperbola. Choose the correct graph below. A. -6 12 -8 2 x y

A coordinate system with a horizontal x-axis labeled from negative negative 6 to 12 in increments of 2, a vertical y-axis labeled from negative negative 8 to 2 in increments of 2. The graph of a hyperbola has one branch that opens to the right and one that opens to the left. The vertices are located at (9,negative 3) and (negative 3,negative 3). The vertical sides of a rectangle between the branches touch the branches at the vertices. The graph has center in fourth quadrant and the diagonal lines of the rectangle have magnitude of slopes between 0 and 1 and the branches approach these lines as they travel away from the center. B. -6 12 -8 2 x y

A coordinate system with a horizontal x-axis labeled from negative negative 6 to 12 in increments of 2, a vertical y-axis labeled from negative negative 8 to 2 in increments of 2. The graph of a hyperbola has one branch that opens up and one that opens down. The vertices are located at (3,negative 2) and (3,negative 4). The horizontal sides of a rectangle between the branches touch the branches at the vertices. The graph has center in fourth quadrant and the diagonal lines of the rectangle have magnitude of slopes between 0 and 1 and the branches approach these lines as they travel away from the center. C. -6 12 -8 2 x y

A coordinate system with a horizontal x-axis labeled from negative negative 6 to 12 in increments of 2, a vertical y-axis labeled from negative negative 8 to 2 in increments of 2. The graph of a hyperbola has one branch that opens up and one that opens down. The vertices are located at (3,negative 2) and (3,negative 4). The horizontal sides of a rectangle between the branches touch the branches at the vertices. The graph has center in fourth quadrant and the diagonal lines of the rectangle have magnitude of slopes between 0 and 1 and the branches approach these lines as they travel away from the center. D. -6 12 -8 2 x y

A coordinate system with a horizontal x-axis labeled from negative negative 6 to 12 in increments of 2, a vertical y-axis labeled from negative negative 8 to 2 in increments of 2. The graph of a hyperbola has one branch that opens to the right and one that opens to the left. The vertices are located at (negative 3,negative 3) and (9,negative 3). The vertical sides of a rectangle between the branches touch the branches at the vertices. The graph has center in fourth quadrant and the diagonal lines of the rectangle have magnitude of slopes between 0 and 1 and the branches approach these lines as they travel away from the center. Part 2 The foci​ is/are    enter your response here. ​(Type an ordered pair. Type an exact​ answer, using radicals as needed. Use a comma to separate answers as​ needed.) Part 3 The equation of the asymptote with the positive slope is    enter your response here. The equation of the asymptote with the negative slope is    enter your response here. ​(Use integers or fractions for any numbers in the​ equation.)