Math Unit 2

Name: Carla Strombitski| Date:| Graded Assignment Unit Test, fortune 2: Conic Sections Answer the questions below. When you are finished, submit this appellation to your teacher by the due date for panoptic credit. (10 points) pretend|  | 1.       The hit of an ellipse is assumption by . a. Identify the coordinates of the spunk of the ellipse. b. befall the length of the major and minor axes. c. Find the coordinates of the foci. d. graphical record the ellipse. pass judgment the center and foci. Answer: a) wedded par of ellipse. On analyse this equality with standard par of ellipse with centre (h,k) which is abandoned by x-h2a2+y-k2b2=1 , we have , h = 3 and k = -5. Therefore, coordinates of centre of ellipse = (3, -5). b) habituated equation of ellipse. On equivalence this equation with standard equation of ellipse with major bloc 2a and minor axis vertebra 2b which is assumption by x-h2a2+y-k2b2=1 , we have, a2=64=> ;a=8 And b2=100=>b=10 Therefore, length of major axis = 2a = 2*8 = 16. And length of minor axis = 2b = 2*10 = 20. c) From give out a) and b), we have a = 8 and b = 10 and h=3,k=-5 So, c2=b2-a2=102-82=100-64=36 =>c=sqrt36= 6. In this given equation b>a So, this is a vertical ellipse. Therefore, coordinates of foci = (3, -5+6) and (3, -5-6) Foci are (3,1) and (3, -11).

d) This is the graph of given ellipse with foci and center.   (12 points) Score|  | 2.       The equation of a hyperbola is given by . a. Identify the coordinates of the center of the hyperbola. b. Find the length of the transverse and match axes. c. Find th! e slopes of the asymptotes. d. Find the coordinates of the foci. e. Graph the hyperbola. Label the center, midpoints of the associated rectangle, and foci. Answer:   a) Given equation of hyperbola On comparing this equation with standard equation of hyperbola with centre (h,k) which is given by y-k2b2-x-h2a2=1 , we have, h=6 and k=0 Therefore, coordinates of center of...If you want to get a full essay, order it on our website: BestEssayCheap.com

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