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 Objectives: Solve quadratic equations that cannot be factored by completing the square  Vocabulary: Perfect Square Trinomial- A trinomial of the form.

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Presentation on theme: " Objectives: Solve quadratic equations that cannot be factored by completing the square  Vocabulary: Perfect Square Trinomial- A trinomial of the form."— Presentation transcript:

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2  Objectives: Solve quadratic equations that cannot be factored by completing the square  Vocabulary: Perfect Square Trinomial- A trinomial of the form a^2 + 2ab + b^2 that is factored as (a + b)^2. (Also, a^2 – 2ab + b^2 = (a – b)^2)  Homework:  P. 309 WRITTEN #14-26 evens  Tools and Rules: Write down the steps from p. 308

3  Objectives: Solve quadratic equations using the quadratic formula.  Vocabulary: Quadratic Equation: Equation of the form  Examples:  Tools and Rules:

4  Objectives: Use the discriminant to find the type of roots of a quadratic equation.  Vocabulary: Roots- The solutions to a quadratic equation. Also, the x-intercepts of a quadratic function when graphed.  Examples:  P. 320 1-24 evens (WRITTEN)  Tools and Rules:

5 How did the graphs change from the parent function? (Think of it as the parent function shifting around on the graph).

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7  Objectives: Graphing and writing a quadratic equation in Vertex Form.  Vocabulary:  Vertex-The highest or lowest point on a parabola.  Axis of Symmetry-The line that divides a graph into two symmetric parts.  Examples:  P. 330 (ORAL) #1-6 all  P. 331 (WRITTEN) #1-22 evens  Tools and Rules:

8  1) Vertex  2) Axis of Symmetry  3) X-intercepts (aka roots, if any)  4) Y-intercept

9  a = Valley or mountain (or, Maximum and Minimum points)  h = Shifted to the right or the left (on x-axis)  Right if h>0 {Ex: (x – 5) means h = 5}  Left if h < 0 {Ex: (x + 3) means h = -3 because (x – (-3))}  k = Shifted up or down (on y-axis)

10  Objectives: Graphing and writing a quadratic function in General Form.  Vocabulary:  May also be called “Standard Form”  Examples:  Tools and Rules: Finding the Axis of Symmetry:


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