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March 20 th copyright2009merrydavidson Happy Late Birthday to: Pauline Nenclares 3/3 Adil Kassam 3/5 Katie Ceynar 3/13 Slide 2 Application: y = a(x h) 2 + k ORx = a(y k) 2 + h 1. A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located (the focus). If the dish is 10 feet across at its opening and is 4 feet deep at its center, at what position should the receiver be placed? We will draw a cross section Slide 3 2.A TV receiving dish is in the shape of a paraboloid of revolution. Find the location of the receiver, which is placed at the focus, if the dish is 6 feet across at its opening and 2 feet deep. YOU DO THIS ONE! Slide 4 3.The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 600 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable at a point 150 feet from a tower? CALCULATOR Think!! What am I asking you to find? Slide 5 Please do #4 and #5. Show me your answers. Slide 6 Quadratic Regression Stat Edit Put numbers in to L 1 and L 2 Stat Calculate #5 is quadratic Enter Plot on Y = VARS #5 EQ Zoom 9 2 nd trace value Slide 7 6. Read problem, select 4 points on the picture. * * ** Use quadratic regression to find the equation of the parabola. What are we trying to find??? x-axis (15,16) (-15,16) (30,0) (-30,0) Slide 8 Finish the rest of the notes problems for HW. Quiz next time over: 40 pts: given a parabolic equation, find all information and graph. 10 pts: given specific information, write the equation. 10 pts: complete the square to change to vertex form. 40 pts: application problems