There are four parts to this :) Thanks for the help! PART ONE:

Q Q 1. What is the eccentricity of the ellipse defined by the equation + = 1 18 O 3 ON6 O 3 O3 6Q 2. Select the coordinates of the two foci for the ellipse defined by the equation 1 O (-5,0). 5,0 O (-15,0 5,0 O (0, -5). 0,5 O (0,-15 0, V53, Show all work and explain your reasoning to answer the questions based on the ellipse defined by the equation a) What are the coordinates of the center of the ellipse? b) What is the length of the semimajor axis, I 'F' c) What is the length of the semirminor axis, I? d) What are the equations of the directrix lines? .2 1. Select the equations for the directrix lines for the hyperbola defined by the equation 14 27 = 1 Ov=1 41 O 14/41 y= + 41 O 14/41 41 OK=1 41y Q Q 2. What is the eccentricity of the hyperbola defined by the equation = 1? 14 27 O 574 O 574 14 ON 14 O 41Q 3. What is the length of the semi-major axis, @, for the hyperbola defined by the equation r 14 27 = 1? O3 3 O 2 14 06 3V 4. Select the equations for the asymptotes for the hyperbola defined by the equation = 1 28 32 O x =12~2y O 2 14 7 X O 2 14 7 Ow=12 2x(x -4) (y +3)' 5. Using the hyperbola defined by the equation 8 24 = 1. Show all steps. a) What are the coordinates of the center of the hyperbola? b) What are the coordinates of the two foci? c) Sketch a graph of this hyperbola on graph paper (not graphing calculator). Be sure to include the foci and center in your sketch.Q 1. Identify the shape of the parametric curve defined by the equations x = sing and y = 3 cost. O Parabola O Ellipse with vertical major axis O Ellipse with horizontal major axis O CircleQ 2 Select the graph of the parametric equations. x=1- 5, y=4-1 O -5 -5 5 O -5 5 O 5 0 5 -5 O -5 5 -53. a) Show all steps to convert the parametric curve into Cartesian form: _, m. b) Identify the form of the parametric curve. 4. Identify the shape of the parametric curve defined by the equations 1+3,-6515-3 -1,-6sts-3 1,-3