a. What is the family of orthogonal trajectories for the family of parabolas with axis parallel to the y-axis and vertex at the point (−2, 4)? b. Give the family of orthogonal trajectories of the family of parabolas with vertical axis and vertex at the point ( -6 , -4 ).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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a. What is the family of orthogonal trajectories for the family of parabolas with axis parallel to the y-axis and vertex at the point (−2, 4)?

b. Give the family of orthogonal trajectories of the family of parabolas with vertical axis and vertex at the point ( -6 , -4 ).

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