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Standard form to vertex form of a quadratic

613 views · Published 21 February 2012 · 8:58 · Indexed 30 September 2026

Channel: Brian McLogan · 2012 · Education

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👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it can be written in the vertex form (i.e. in the form y = a(x - h)^2 + k, where (h, k) is the vertex.)

Given a quadratic equation in standard form, to obtain the vertex of the equation, we use the process of completing the square to rewrite the equation in the vertex form and hence extract the vertex of the parabola formed by the equation.

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Organized Videos:
✅Completing the Square
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpfUn-UbbSKAHe7GOxGShBk
✅Find the Value C that Completes the Square
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqmxsvmZap_8RKYseOPTCjx
✅Standard to Vertex Form by Completing the Square
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMq-1D6604jY8aFUjYuk4Kkh
✅Find the Vertex by Completing the Square
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMp5mvVW2CmsEPpdn6dvPeBk

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