8 The equation of a curve is y = 3+ 12x - 2x². a Express 3+12x-2x² in the form a-2(x + b)2, where a and b are constants to be found. b Find the coordinates of the stationary point on the curve. c Find the set of values of x for which y ≤-5.
8 The equation of a curve is y = 3+ 12x - 2x². a Express 3+12x-2x² in the form a-2(x + b)2, where a and b are constants to be found. b Find the coordinates of the stationary point on the curve. c Find the set of values of x for which y ≤-5.
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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8 The equation of a curve is y = 3+ 12x - 2x².
a Express 3+ 12x - 2x² in the form a -2(x + b)2, where a and b are constants to be found.
b
Find the coordinates of the stationary point on the curve.
c Find the set of values of x for which y <-5.
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