Quadratic Function: Quadratic Formula | Axis of Symmetry

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The Quadratic Formula:

    Previously, we have proven the Quadratic Formula which is used to find the roots of a particular quadratic function. As we know, the graphical representation of a quadratic function is having a symmetrical shape. Having said that, there will be a line(axis) of symmetry in the graph of any quadratic function. 

    Base on the Quadratic Formula, every quadratic function will have two roots in general. These roots are 

    Since the graph of any quadratic function is having a symmetrical shape, hence the axis of symmetry must be equidistance from both its roots. In another words, the axis of symmetry is located at the midpoint of horizontal line connecting both the roots. Hence, the equation for the axis of symmetry can be determined by finding the midpoint between x₁ and x₂.


    By doing so, we have successfully derived the equation for the axis of symmetry for a quadratic function based on the Quadratic Formula. What other information that we can obtain from the Quadratic Formula? We will discuss it further in the next post. Stay tuned! Before that, don't forget to LIKE, SHARE and SUBSCRIBE to my blog and also my YouTube channel. See you!

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