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Write an equation for the parabola for the parabola with axis vertical and containing the points 0,5), (2,5), and (3, 14).

Write an equation for the parabola for the parabola with axis vertical and containing the points 0,5), (2,5), and (3, 14).

Elementary Geometry For College Students, 7e
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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Write an equation for the parabola for the parabola with axis vertical and containing the points (0,5), (2,5), and (3,14). Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the points (2,1) and (18,3). Find the points of intersection between the line x + y – 4 = 0 and the circle x² + y² = 16. Find the points of intersection between the line x - y- 2 = 0 and the parabola y = 4 – x². Find the points of intersection betweer, the line 4y – 3x + 12 = 0 and the ellipse 9x2 + 16y² = 144. Find the points of intersection between the parabolas y = 6 – x² and y = x2 – 2.
Transcribed Image Text:Write an equation for the parabola for the parabola with axis vertical and containing the points (0,5), (2,5), and (3,14). Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the points (2,1) and (18,3). Find the points of intersection between the line x + y – 4 = 0 and the circle x² + y² = 16. Find the points of intersection between the line x - y- 2 = 0 and the parabola y = 4 – x². Find the points of intersection betweer, the line 4y – 3x + 12 = 0 and the ellipse 9x2 + 16y² = 144. Find the points of intersection between the parabolas y = 6 – x² and y = x2 – 2.
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