A11
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Identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically and turning points by completing the square
Identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically and turning points by completing the square
A11-00 [Tricks of the Trade: How to draw a curve through two points]
A11-00 [Tricks of the Trade: How to draw a curve through two points]
A11-01 [Plotting y = x^2]
A11-01 [Plotting y = x^2]
A11-02 [Introducing Parabolas]
A11-02 [Introducing Parabolas]
A11-03 [Find the y-intercept Examples]
A11-03 [Find the y-intercept Examples]
A11-04 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 1]
A11-04 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 1]
A11-05 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 2]
A11-05 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 2]
A11-06 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 3]
A11-06 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 3]
A11-07 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 4]
A11-07 [Identifying the Roots, y-intercept and Turning Point of a Parabola Example 4]
A11-08 [Spotting the Symmetry in a Table of Values]
A11-08 [Spotting the Symmetry in a Table of Values]
A11-09 [Plotting y = x^2 + 1]
A11-09 [Plotting y = x^2 + 1]
A11-10 [Plotting y = x^2 - 4]
A11-10 [Plotting y = x^2 - 4]
A11-11 [Plotting y = x^2 - 2x]
A11-11 [Plotting y = x^2 - 2x]
A11-12 [Plotting y = x^2 + 6x +8]
A11-12 [Plotting y = x^2 + 6x +8]
A11-13 [Plotting y = x^2 - 4x + 4]
A11-13 [Plotting y = x^2 - 4x + 4]
A11-14 [Plotting y = x^2 - 4x - 1]
A11-14 [Plotting y = x^2 - 4x - 1]
A11-15 [Plotting y = -x^2]
A11-15 [Plotting y = -x^2]
A11-16 [Plotting y = -x^2 + 1]
A11-16 [Plotting y = -x^2 + 1]
A11-17 [Plotting y = -x^2 + 4x]
A11-17 [Plotting y = -x^2 + 4x]
A11-18 [Plotting y = -x^2 - 2x + 3]
A11-18 [Plotting y = -x^2 - 2x + 3]
A11h-19 Introducing Completing the Square
A11h-19 Introducing Completing the Square
A11h-20 Completing the Square Examples 1
A11h-20 Completing the Square Examples 1
A11h-21 Completing the Square Examples 2
A11h-21 Completing the Square Examples 2
A11h-22 Completing the Square with ax^2 + bx + c
A11h-22 Completing the Square with ax^2 + bx + c
A11h-23 Completing the Square Examples 3
A11h-23 Completing the Square Examples 3
A11h-24 Finding the Turning Point Examples
A11h-24 Finding the Turning Point Examples