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Understanding Quadratics: Characteristics and Graphing Techniques

This daily check focuses on analyzing the characteristics of quadratic functions, including domain, range, extrema, axis of symmetry, and intercepts. Students will learn how to convert the equation of a quadratic from vertex form to standard form and understand how the sign of the leading coefficient affects the direction the parabola opens. The lesson includes a review of important concepts, practice problems, and group discussion to reinforce learning. This session aims to deepen students' understanding and mastery of quadratic functions.

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Understanding Quadratics: Characteristics and Graphing Techniques

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  1. Wednesday August 14, 2013 Daily Check: Characteristics of Quadratics!

  2. Daily Check Analyze the graph of this quadratic: • Domain • Range • Extrema • Axis of Symmetry • Increasing • Decreasing • X-Intercepts • Y-intercept • Avg. Rate of Change b/w -2 & 0

  3. Math 2 Agenda Give back homework Give back tests Review Test Mastery Log Retest New Stuff

  4. Today’s Question: How do you convert the equation of a quadratic from vertex to standard form? Standard: MM2A3.b.

  5. Vertex Form • If _____ is positive, the parabola opens _________. • If _____ is negative, the parabola opens _________. • The vertex is the point __________. • The axis of symmetry is the vertical line __________. • When graphing, don’t forget about two points on either side of the vertex! (total of 5 points)

  6. Vertex & axis of symmetry?

  7. Vertex Form Standard Form

  8. Change to standard form:

  9. Change to standard form:

  10. Change to standard form:

  11. Practice Worksheet

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