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3/21 Warm Up- Monday Clean Out Folders Leave only your flipchart in folder Put Reference Chart on table We will use Quadratic Notes and Graphing Quadratic Equation Worksheet today.
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3/21 Objective: I will be able to graph quadratic functions in standard form.
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3/21 Assignment Graphing Quadratics Worksheet Numbers 3-7
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Quadratics
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ax 2 + bx + c =0 Standard Form of Equation
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the u-shaped curve a quadratic equation makes when graphed. Parabola
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Types of Parabolas If ‘a’ is POSITIVE, the parabola will OPEN UPWARD If ‘a’ is NEGATIVE, the parabola will OPEN DOWNWARD
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Axis of Symmetry The vertical line that divides the parabola into two equal parts. It is the x-value of quadratic equation. To find x-value use this formula:
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Vertex The turning point of the parabola. Written as (x, y) To find vertex: use axis of symmetry formula to find x. plug x into equation to find y.
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Types of Vertex Minimum: vertex is lowest point ‘a’ is positive Maximum: vertex is highest point ‘a’ is negative
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I will transform quadratic parent function by shifting, stretching, or compressing. 3/22 Objective
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3/22 Vocabulary Review Parent Function Linear Equation: y = x f(x) = x
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3/22 Vocabulary Review Transformation of Linear Equation: y = mx + b f(x) = mx + b
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3/22 Vocabulary Parent Function Quadratic Equation: y = x 2 f(x) = x 2
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3/22 Vocabulary Shift: y = x 2 + c f(x) = x 2 + c moves up y-axis y = x 2 - c f(x) = x 2 – c moves down y-axis
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3/22 Vocabulary Vertical Stretch: y = ax 2 f(x) = ax 2 “a” greater than one makes parabola narrower
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3/22 Vocabulary Vertical Compression: y = ax 2 f(x) = ax 2 “a” less than one makes parabola wider
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3/22 Vocabulary Reflection: y = -x 2 f(x) = -x 2 “a” is negative parabola opens downward
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Quadratic Transformations y = ax 2 + bx + c - value: makes parabola open downward (reflection) more than 1: absolute value more than one makes parabola narrower less than 1: absolute value less than one makes parabola wider - value: moves parabola down + value: moves parabola up
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Quadratic Transformations y = ax 2 + bx + c - value: makes parabola open downward (reflection) more than 1: absolute value more than one makes parabola narrower less than 1: absolute value less than one makes parabola wider - value: moves parabola down + value: moves parabola up
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3/22 Assignment Transforming Quadratic Equations
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3/22 Warm Up- Wednesday Quick Quiz: Match the term with its definition. 1. ____Maximum 2. ____Minimum 3. ____Vertex 4. ____Axis of Symmetry 5. ____Parabola a.Shape of quadratic equation when graphed b.The turning point of a parabola c.The x-value of the vertex; also line that cuts parabola into two symmetrical parts d.Highest point of parabola; makes parabola look like a frown e.Lowest point of parabola; makes parabola look like a smile
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3/23 Assignment Finish Quadratic Transformation Worksheet
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3/24 Warm Up- Thursday Test Today! Make sure you have: BACKPACKS IN BACK OF ROOM Something to write with Flipchart Calculator
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3/25 School Holiday No School Bad Weather Make-up Day
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