Equations and Their Graphs1. Find the equation of the parabola given the following parameters and draw the graph ofthe equation(a) Focus at (0, -3), directrix at y = 2(b) Vertex at (3, 0), directrix at x = 1(c) Vertex at origin y axis as axis of symmetry, contains the point (2, 5)(d) Latus rectum is the segment joining (1, 4) and (7, 4) passing through the point (7, 1)(e) Contains the point (2, 10), and (3, 4) axis of symmetry is vertical, vertex is on the line4x- Зу%36II.

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Answered: 1. Find the equation of the parabola…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Conic Sections

Section7.1: Parabolas

Problem 44E

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Similar questions

Finding the Equation of a Parabola Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s). Focus on the positive x-axis, 2 units away from the directrix
Finding the Equation of a Parabola Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s). Focal diameter 8 and focus on the negative y-axis
A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50 feet and a height at the center of 10 feet. (a) Sketch the arch of the tunnel on a rectangular coordinate system with the center of the road entering the tunnel at the origin. Label the coordinates of the known points. (b) Find an equation of the semielliptical arch over the tunnel. (c) You are driving a moving truck that has a width of 8 feet and a height of 9 feet. Will the moving truck clear the opening of the arch?
Suspension Bridge Each cable of the Golden Gate Bridge is suspended (in the shape of a parabola) between two towers that are 1280 meters apart. The top of each tower is 152 meters above the roadway. The cables touch the roadway at the midpoint between the towers. (a) Sketch the bridge on a rectangular coordinate system with the cables touching the roadway at the origin. Label the coordinates of the known points. (b) Write an equation that models the cables.
Graphing Parabolas Use a graphing device to graph the parabola. 8y2=x

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1. Find the equation of the parabola given the following parameters and draw the graph of the equation (a) Focus at (0, -3), directrix at y = 2