Consider the parabola: x=2(y-2)^2 + 3, and the point P (3,4) (a) Write a polynomial expres sion for the distance d from point P to an arbitrary point Q on the parabola. (b) Make a plot of d versus y for . (c) Determine the coordinates of Q if d = 3 (there are two points). (d) Determine the coordinates of Q that correspond to the smallest d, and calculate the corresponding value of d. (e) Make a plot that shows the parabola, point P, the two points from part (c), and the point from part (d).
Consider the parabola: x=2(y-2)^2 + 3, and the point P (3,4) (a) Write a polynomial expres sion for the distance d from point P to an arbitrary point Q on the parabola. (b) Make a plot of d versus y for . (c) Determine the coordinates of Q if d = 3 (there are two points). (d) Determine the coordinates of Q that correspond to the smallest d, and calculate the corresponding value of d. (e) Make a plot that shows the parabola, point P, the two points from part (c), and the point from part (d).
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
Related questions
Question
-
Consider the parabola: x=2(y-2)^2 + 3, and the point P (3,4)
-
(a) Write a polynomial expres
sion for the distance d from point P to an arbitrary point Q on the parabola.
-
(b) Make a plot of d versus y for .
-
(c) Determine the coordinates of Q if d = 3 (there are two points).
-
(d) Determine the coordinates of Q that correspond to the smallest d, and
calculate the corresponding value of d.
-
(e) Make a plot that shows the parabola, point P, the two points from part
(c), and the point from part (d).
-
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