Find a formula for the parabola shown in the figure.NOTE: Enter the exact answer.f(x) =o searchO10✔1312-111098763210Y(1,4)24(4,8)6810

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Answered: Find a formula for the parabola shown…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Identify the vertex and the axis of symmetry for the parabola defined by the quadratic function ƒ(x) = 12 – (x – 400)2. Then determine if the parabola opens up or down. a. (–400, –12); x = –400; opens down b.(400, 12); x = 400; opens down c.(400, 12); x = 400; opens up d.
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Now consider the following situation for this same roller coaster. boarding station tunnel entrance (x, 0) There is a section of the track that levels off the roller coaster while it is in the tunnel. This is in the shape of half of a parabola were the vertex is the place where the track returns to a horizontal orientation. Answer the following questions. The rule for this section of track is given by the formula h(x)=0.125x² - 56.5x+6334.5, where x remains the horizontal position from that of the boarding station. lowest point (x+20, ?) How far below the ground does this tunnel reach? How far from the boarding station (horizontally) does this occur? Round values to the nearest foot.
the percentages of people in a country who say they are happy are shown in the table for various year. Let f(t) be the percentage of people in a country who say they are very happy at t year since 1970. complete part a-d below. year percentage 1972 34 1980 36 1990 43 2000 41 2010 29 a. find a quadratic equation of t in vertex form. b. Find ( 47) and what does it mean in this situation c. find when f(t)=24 and what does it mean d. what is the vertex of the model? and what does it mean
Graph the parabola. -2y+20y-x-52=0 12- 10- 8- 6- X E 4- -12-10 -8 10 12 -2- -4- -6- -8- -10- -12- Continue
A rectangle has a vertex at J(2, 2), H(4, −2), and G(−2, −5). What are the coordinates of the fourth vertex, F?

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Find a formula for the parabola shown in the figure. NOTE: Enter the exact answer. f(x) = search O i M 13 12- 11- 10 9 8 -7 4 3 2 1 0 Y (1,4) 2 4 (4,8) 6 8 10