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    Parabola - Equation, Properties, Examples - Parabola Formula

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    sutukur
    A parabola is a graph of a quadratic function that is equidistant from a fixed point called the focus. The general equation of a parabola is y = a(x-h)2 + k, where (h,k) is the vertex. Key properties include the focus, directrix, and latus rectum. There are four standard forms of the parabola equation depending on the axis of symmetry. Examples demonstrate finding properties like the focus and solving problems using the parabola formula.

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    Parabola - Equation, Properties, Examples - Parabola Formula

    Uploaded by

    sutukur
    20 views7 pages
    A parabola is a graph of a quadratic function that is equidistant from a fixed point called the focus. The general equation of a parabola is y = a(x-h)2 + k, where (h,k) is the vertex. Key properties include the focus, directrix, and latus rectum. There are four standard forms of the parabola equation depending on the axis of symmetry. Examples demonstrate finding properties like the focus and solving problems using the parabola formula.

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    Parabola - Equation, Properties, Examples _ Parabola Formula

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    A parabola is a graph of a quadratic function that is equidistant from a fixed point called the focus. The general equation of a parabola is y = a(x-h)2 + k, where (h,k) is the vertex. Key properties include the focus, directrix, and latus rectum. There are four standard forms of the parabola equation depending on the axis of symmetry. Examples demonstrate finding properties like the focus and solving problems using the parabola formula.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    20 views7 pages

    Parabola - Equation, Properties, Examples - Parabola Formula

    Uploaded by

    sutukur
    A parabola is a graph of a quadratic function that is equidistant from a fixed point called the focus. The general equation of a parabola is y = a(x-h)2 + k, where (h,k) is the vertex. Key properties include the focus, directrix, and latus rectum. There are four standard forms of the parabola equation depending on the axis of symmetry. Examples demonstrate finding properties like the focus and solving problems using the parabola formula.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
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    3/9/22, 12:38 PM Parabola - Equation, Properties, Examples | Parabola Formula

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    Parabola
    A parabola is a graph of a quadratic function. Pascal stated that a parabola is a projection of a circ

    What is Parabola?
    A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixe

    Parabola Equation

    The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the ve

    Some of the important terms below are helpful to understand the features and parts of a parabola

    Focus: The point (a, 0) is the focus of the parabola


    Directrix: The line drawn parallel to the y-axis and passing through the point (-a, 0) is the dire
    Focal Chord: The focal chord of a parabola is the chord passing through the focus of the parab
    Focal Distance: The distance of a point (x1 , y1 ) on the parabola, from the focus, is the focal dis
    Latus Rectum: It is the focal chord that is perpendicular to the axis of the parabola and is pass
    Eccentricity: (e = 1). It is the ratio of the distance of a point from the focus, to the distance of th

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    3/9/22, 12:38 PM Parabola - Equation, Properties, Examples | Parabola Formula

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    Standard Equations of a Parabola


    There are four standard equations of a parabola. The four standard forms are based on the axis an

    The following are the observations made from the standard form of equations:

    Parabola is symmetric with respect to its axis. If the equation has the term with y2, then the ax
    When the axis of symmetry is along the x-axis, the parabola opens to the right if the coefficient
    When the axis of symmetry is along the y-axis, the parabola opens upwards if the coefficient o
     

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    3/9/22, 12:38 PM Parabola - Equation, Properties, Examples | Parabola Formula

    Parabola Examples
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    Example 1: The equation of a parabola is y2 = 24x. Find the length of the latus rectum, focus, a

    Solution:

    To find: Length of latus rectum, focus and vertex of the parabola

    Given: Equation of a parabola: y2 = 24x

    Therefore, 4a = 24

    a = 24/4 = 6

    Now, parabola formula for latus rectum is:

    Length of latus rectum = 4a

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    3/9/22, 12:38 PM Parabola - Equation, Properties, Examples | Parabola Formula

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    3/9/22, 12:38 PM Parabola - Equation, Properties, Examples | Parabola Formula

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    Practice Questions on Parabola

    1. Find the focus of the parabola y 2 = 16x.

    (16, 0)

    (8, 0)

    (-4, 0)

    (4, 0)

    FAQs on Parabola
    1

    What is Parabola in Conic Section?


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    3/9/22, 12:38 PM Parabola - Equation, Properties, Examples | Parabola Formula

    What is the Equation of Parabola?

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    What is the Vertex of the Parabola?

    How to Find Equation of a Parabola?

    What is The Eccentricity of Parabola?

    What is the Foci of a Parabola?

    What is the Conjugate Axis of a Parabola?

    What are The Vertices of a Parabola?

    What is the Standard Equation of a Parabola?

    How to Find Transverse Axis of a Parabola?

    Where is Parabola Formula Used in Real Life?

    How Do you Solve Problems Using Parabola Formula?

    Do all Parabolas Formula Represent a Function?

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    3/9/22, 12:38 PM Parabola - Equation, Properties, Examples | Parabola Formula

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