( y+ 1 ) Q Q1. Show all work and explain your reasoning to answer the questions based on the ellipse defined by the equation (x - 5 )2 =1 36 12 a) What are the coordinates of the center of the ellipse? b) What is the length of the semi-major axis, a? c) What is the length of the semi-minor axis, b? d) What are the equations of the directrix lines?2. Identify the center of the ellipse defined by the equation + . 36 16 = 1. O (0, 0 ) O (-6, - 4 ) O (36, 16 0 ( 6, 4 ) Q3. Select the coordinates of the two foci for the ellipse defined by the equation 25 4 = 1. O (-21, 0 ). (21, 0 ) O (0,-~21 ).(0, 21 ) O (-~21, 0 ). ( 21, 0 ) O (0,-21 ). ( 0,21 )Q 4. Select the vertices of the ellipse defined by the equation + 25 = 1. O (-5, 0 ), (~5,0) O (0, -5), (0,5 ) O ( -5, 0 ], ( 5,0 ) O ( 0, -~5 ), (0, 15) Q Q 5. What is the eccentricity of the ellipse defined by the equation 10 20 =1. O 2 O 1 2 2 O 2 12 O 2