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Pre- Calculus 1. Today’s Agenda. Today’s Objectives :. Take our HW #7 – Handout on Vertex Get into Dress Code Start Do Now. SWBAT… Determine a quadratic function’s key features, including its vertex, from factored form Sketch the graph of a quadratic function. Notes:
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Pre-Calculus 1 Today’s Agenda Today’s Objectives: • Take our HW #7 – Handout on Vertex • Get into Dress Code • Start Do Now • SWBAT… • Determine a quadratic function’s key features, including its vertex, from factored form • Sketch the graph of a quadratic function • Notes: • Finding the Vertex & Graphing Quadratics Summary Today’s Vocabulary: • Vertex • Midpoint • Line of Symmetry Homework #8: • Handout – Finding Vertex from Factored Form
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Vertex • SWBAT… • Determine a quadratic function’s key features, including its vertex, from factored form • Sketch the graph of a quadratic function What do we know about the VERTEX of a quadratic function?? From Standard form, we can find the x-value using the equation for the line of symmetry:
Midpoint • SWBAT… • Determine a quadratic function’s key features, including its vertex, from factored form • Sketch the graph of a quadratic function If we are given the Factored form of an equation, we can either transform it into Standard form and find the line of symmetry or we can find the midpoint between the given roots. Because the VERTEX is the point that divides a parabola into two equal parts, it lies half way between the roots Midpoint Formula
SWBAT… • Determine a quadratic function’s key features, including its vertex, from factored form • Sketch the graph of a quadratic function Midpoint The midpoint has the same x-value as the VERTEX. Solve for x, then you can find y. Midpoint x2, y2 x1, y1
Midpoint And Vertex • SWBAT… • Determine a quadratic function’s key features, including its vertex, from factored form • Sketch the graph of a quadratic function x1: -1 x2: 3 Try anexample Midpoint
Midpoint And Vertex • SWBAT… • Determine a quadratic function’s key features, including its vertex, from factored form • Sketch the graph of a quadratic function If the vertex’s x value is 1, we can find the y value using the equation. Try anexample Vertex (1, -4)
Didweachieveourobjectives? • Today’s Objectives: • SWBAT… • Determine a quadratic function’s key features, including its vertex, from factored form • Sketch the graph of a quadratic function Homework #8: • Handout - Finding Vertex from Factored Form