What exactly is a quadratic equation, and why does it create a parabola? 🤔📈
This complete visual introduction takes you from the basic definition of a quadratic equation to understanding its graph, vertex, axis of symmetry, and roots.
1️⃣ Definition of a Quadratic Equation
2️⃣ Standard Form: \(ax^2+bx+c=0\)
3️⃣ Why \(a\neq0\)
4️⃣ Examples & Non-Examples
5️⃣ Quadratic Functions & Parabolas
6️⃣ Effect of \(a\) on the Graph
7️⃣ Upward & Downward Opening Parabolas
8️⃣ Wide & Narrow Parabolas
9️⃣ Effect of \(b\) and \(c\)
🔟 Vertex of a Parabola
1️⃣1️⃣ Axis of Symmetry
1️⃣2️⃣ Roots / x-Intercepts
1️⃣3️⃣ Two, One & No Real Roots
1️⃣4️⃣ Final Summary
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