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    Problems on Parabola, Ellipse and Hyperbola

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    #1. Find the equation of parabola describe. Find 2 points of latus rectum.Graph.
    Focus(-5,0) Vertex(0,0)

    #2 Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1

    #3. Find the equation of ellipse.draw the graph.
    Center (0,0) Focus(0,8) Vertex (0,-10)

    #4. Find the equation of ellipse.draw the graph
    Focus at (0,8) Vertices at (0,+- 10)

    #5. Find all the complex root. Leave your answer in polar form with the argument in degrees.
    The complex fourth root of -81i

    #6.Find the equation of hyperbola.
    Vertices at(-3,0) and (3,0) Asymptote the line y=3x

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    https://brainmass.com/math/graphs-and-functions/problems-parabola-ellipse-hyperbola-178829

    Solution Preview

    The parabola is of the form y^2 = 4ax
    Focus is given by (a, 0) = (-5, 0)  a = -5
    The parabola is y^2 = -20x
    Equation of the LR is x = -a
    The equation is x = 5
    Two points on the LR can be taken as (5, 1) and (5, 4)

    #2 Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1

    The parabola is of the form x^2 = 4ay
    Focus is at (0, a) = (0, 1)  a = 1
    The equation of the parabola is x^2 = 4y
    Two points on the LR can be taken as (2, -1) and (4, -1)

    #3. Find the equation of ellipse.draw the graph.
    ...

    Solution Summary

    The expert examines parabola, ellipse and hyperbola. Neat, step-by-step solutions to all the six questions are provided. Graphs included.

    $2.19

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