How to Write Quadratic Equations in Vertex Form and Standard Form
Learn how to write quadratic equations using vertex form from a vertex, or standard form from 3 points. Let’s get started! 🚀
Video Lesson
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Flashcards
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🛎️ Forms of Quadratic Equations
- Quadratics can be written in vertex form or general form.
- Use vertex form when you know the vertex, and general form when you know points on the parabola.
🛎️ Using the Vertex Form
- If the vertex is (2, 3), start with y = a(x − 2)² + 3.
- Substitute the point (3, 1) to to make an equation and find the value of a.
🛎️ Using the General Form
- Substitute three known points to make three equations.
- Solve the equations together using substitution or elimination to find a, b, and c.
🛎️ Applying Quadratics to a Real-Life Situation
- The equation y = −5/9 x² + 5 models the shape of a bridge.
- Substituting x = 1 shows the height is above 4 m, so the truck can drive through.
Practice Questions
Test your understanding
Interactive Activity
Follow the step-by-step guide to find the equation in vertex form
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