Complete the Square to Vertex Form
Instantly convert quadratic equations ax² + bx + c into the vertex form a(x - h)² + k. This helps identify the vertex (h, k) and graph the parabola easily.
Convert to Vertex Form
What is Vertex Form?
The vertex form of a quadratic equation is y = a(x - h)² + k. Unlike the standard form (y = ax² + bx + c), vertex form makes it incredibly easy to graph the parabola because the point (h, k) represents the exact tip (vertex) of the curve.
How to Convert to Vertex Form
To convert a quadratic to vertex form, you complete the square. First, group the x terms. Then, factor out 'a' if it's not 1. Next, take half of the new 'b' coefficient, square it, and add and subtract that value inside the parentheses. Finally, factor the perfect square trinomial.
Why Use Vertex Form?
Vertex form is preferred in many physics and engineering applications because it instantly reveals the maximum or minimum value of the quadratic function without needing calculus or additional formulas.
Complete the Square Calculators
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