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    Graphing The Quadratic Functions

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    Meta Dispini
    This document discusses how to sketch the graph of a quadratic function by completing the square or factorizing the equation. It shows examples of equations in factored and completed square form along with their graphs, noting key features like x-intercepts, y-intercepts, vertices, and axis of symmetry. The conclusion summarizes that the general form of a quadratic equation is y=ax^2+bx+c and examples are given in factored and completed square form. It poses questions about the effect of a negative or positive 'a' term, how to find the axis of symmetry, and how to find the vertex.

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    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd

    Graphing The Quadratic Functions

    Uploaded by

    Meta Dispini
    18 views2 pages
    This document discusses how to sketch the graph of a quadratic function by completing the square or factorizing the equation. It shows examples of equations in factored and completed square form along with their graphs, noting key features like x-intercepts, y-intercepts, vertices, and axis of symmetry. The conclusion summarizes that the general form of a quadratic equation is y=ax^2+bx+c and examples are given in factored and completed square form. It poses questions about the effect of a negative or positive 'a' term, how to find the axis of symmetry, and how to find the vertex.

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    This document discusses how to sketch the graph of a quadratic function by completing the square or factorizing the equation. It shows examples of equations in factored and completed square form along with their graphs, noting key features like x-intercepts, y-intercepts, vertices, and axis of symmetry. The conclusion summarizes that the general form of a quadratic equation is y=ax^2+bx+c and examples are given in factored and completed square form. It poses questions about the effect of a negative or positive 'a' term, how to find the axis of symmetry, and how to find the vertex.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    18 views2 pages

    Graphing The Quadratic Functions

    Uploaded by

    Meta Dispini
    This document discusses how to sketch the graph of a quadratic function by completing the square or factorizing the equation. It shows examples of equations in factored and completed square form along with their graphs, noting key features like x-intercepts, y-intercepts, vertices, and axis of symmetry. The conclusion summarizes that the general form of a quadratic equation is y=ax^2+bx+c and examples are given in factored and completed square form. It poses questions about the effect of a negative or positive 'a' term, how to find the axis of symmetry, and how to find the vertex.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    Sketching Quadratic Graph (A Parabola)

    These are the graphs of quadratic functions.

    Equation y=x 2−4 y=x 2−2 x−3


    Factorization y= ( x +2 ) ( x−2 ) y=(x +1)(x−3)
    Completing Square y=(x−0)2−4 y=(x−1)2−4

    Graph

    x -intercept
    y -intercept
    Vertex
    Axis Symmetry

    Equation y=−x2 −4 x−3 y=−x2 −4 x−4


    Factorization y= (− x−3 ) ( x +1 ) y=−(x +2)( x+2)
    Completing Square y=−(x +2)2 +1 y=−( x +2)2

    Graph

    x -intercept
    y -intercept
    Vertex
    Axis Symmetry

    1
    Conclusion

    Equation y=ax 2+bx + c


    y= ( x + p ) ( x+ q ) y=(x +r )2 + s
    x -intercept
    y -intercept
    Vertex
    Axis Symmetry

    Questions:
    Consider the equation:

    y=a x2 +bx +c
    1. What happen if the a is a negative/positive number?

    2. How do you find the axis symmetry?

    3. How do you find the vertex?

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