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2) Consider a horizontal parabola of the form ay2 +by+c = x where a 0, and whose graph contains the points (-1,3), (2,4), and (7,-1). a) Find the vertex of the horizontal parabola. b) Determine the center-radius form of the equation of the circle whose end- points of a diameter are the endpoints of the horizontal parabola's latus rectum.

2) Consider a horizontal parabola of the form ay2 +by+c = x where a 0, and whose graph contains the points (-1,3), (2,4), and (7,-1). a) Find the vertex of the horizontal parabola. b) Determine the center-radius form of the equation of the circle whose end- points of a diameter are the endpoints of the horizontal parabola's latus rectum.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2) Consider a horizontal parabola of the form ay² + by + c = x where a 0, and whose graph contains the points (−1,3), (2, 4), and (7,−1). a) Find the vertex of the horizontal parabola. b) Determine the center-radius form of the equation of the circle whose end- points of a diameter are the endpoints of the horizontal parabola's latus rectum. 2
Transcribed Image Text:2) Consider a horizontal parabola of the form ay² + by + c = x where a 0, and whose graph contains the points (−1,3), (2, 4), and (7,−1). a) Find the vertex of the horizontal parabola. b) Determine the center-radius form of the equation of the circle whose end- points of a diameter are the endpoints of the horizontal parabola's latus rectum. 2
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