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Converting Quadratics: General and Vertex Form

Algebra and Graphs Converting Quadratics: General and Vertex Form

🎬 Video Tutorial

(0:01) Converting Quadratic Equations: Learn to switch between the general form, $ax^2 + bx + c$, and the vertex form, $a(x – h)^2 + k$, (where $a \neq 0$).
(0:18) Converting Vertex Form to General Form: Square the binomial, expand the brackets, and simplify to rewrite a quadratic equation in general form.
(1:13) Converting General Form to Vertex Form: Factor out the coefficient of $x^2$, then complete the square to rewrite the equation in vertex form.

📂 Revision Cards

Converting quadratic equations between general form y = ax² + bx + c and vertex form y = a(x - h)² + k, where a ? 0.

Converting a quadratic equation from vertex form, y = 2(x - 3)² - 5, to general form by expanding and simplifying to y = 2x² - 12x + 13.

Conversion of a quadratic equation from general form y = 3x² + 18x + 25 to vertex form by completing the square, resulting in y = 3(x + 3)² - 2.

Converting the quadratic equation y = -2x² + 8x - 5 from general to vertex form using completing the square method, resulting in y = -2(x - 2)² + 3.

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