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Stitz-Zeager_College_Algebra_e-book

4 station a records the waves rst then station b

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Unformatted text preview: as a function of x, but those of horizontal parabolas do not (Why?) However, the top half or bottom half of a horizontal parabola does form the graph of a function which we have studied thoroughly. To what functions am I referring and where in the text have they appeared? How could we use the transformations in Section 1.8 to better understand the graphs of horizontal parabolas? 7. A popular novelty item is the ‘mirage bowl.’ Follow this link to see another startling application of the reflective property of the parabola. 8. With the help of your classmates, research spinning liquid mirrors. To get you started, check out this website. 5 This shape is called a ‘parabolic cylinder.’ 416 7.3.2 Hooked on Conics Answers y 1. (a) (y − 2)2 = −12(x + 3) 8 Vertex (−3, 2) Focus (−6, 2) Directrix x = 0 Endpoints of latus rectum (−6, 8), (−6, −4) 7 6 5 4 3 2 1 x −7 −6 −5 −4 −3 −2 −1 −1 −2 −3 −4 y (b) (y + 4)2 = 4x Vertex (0, −4) Focus (1, −4) Directrix x = −1 Endpoints o...
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