Parabola Vertex: Finding the Center
aligned to Ap Precalculus
Learning Objective
I can determine the vertex of a parabola by completing the square.
Lesson Flow
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Guided Notes
Key concepts students will learn:
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The vertex form of a quadratic equation is y = A(x - B)² + C, where the vertex of the parabola is the point (B, C).
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To complete the square, factor out the coefficient of the x² term, then add and subtract (b/2)² inside the parentheses to create a perfect square trinomial.
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After completing the square and simplifying, the x-coordinate of the vertex is the value that makes the squared term equal to 0, and the y-coordinate is the constant term in the vertex form.
Practice
10 questions • Multiple choice & Short answer
Exit Ticket
“Determine the vertex of the parabola y = 2x² + 8x - 3 using either the formula x = -b/2a or by completing the square. Show all your steps.”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
