What are the coordinates of the center of the conic section with equation          4x² + 9y ² − 24x + 36y + 36 = 0?1 pointA. (−3, 2)B. (−2, 3)C. (3, −2)D. (2, −3)

Given the equation, 6𝑥2 + 24𝑦2 = 24, explain how you would determine which of the four conic sectionsit is based on its equation.3. Explain what happens if the equation is changed to 6𝑥2 − 24𝑦2 = 24 .

1. The equation 2x^2+3y^2 = 12 represents which conic section?*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola2.  For the equation (x−4)^2​/16 + y^2/9 ​= 1, identify the type of conic section.*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola3.  The equation y^2 = 16x represents which type of conic section?*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola4.  For the hyperbola (x+2)^2​/ 9  − y^2/4 ​= 1, what are the coordinates of the center?*4 pointsa) (-2, 0)b) (2, 0)c) (0, -2)d) (0, 2)5.  The equation x^2−6x+9+y^2 = 0 represents which conic section?*4 pointsa) Circleb) Ellipsec) Parabolad) Hyperbola

What is the center of the circle with the equation x2 + y2 + 6x - 8y - 11 = 0?Question 10Select one:a.(3, 4)b.(-3, 4)c.(4, -3)d.(6, 0)

Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an left bracket, x, comma, y, right bracket(x,y) point.y, equals, minus, 2, x, squared, minus, 32, x, minus, 144y=−2x 2 −32x−144

Which type of conic section does the following equation represent?left bracket, x, minus, 7, right bracket, squared, equals, minus, 28, left bracket, y, plus, 6, right bracket(x−7) 2 =−28(y+6)