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.

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Presentation transcript:

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.

3/21 Objective: I will be able to graph quadratic functions in standard form.

3/21 Assignment Graphing Quadratics Worksheet Numbers 3-7

Quadratics

ax 2 + bx + c =0 Standard Form of Equation

the u-shaped curve a quadratic equation makes when graphed. Parabola

Types of Parabolas If ‘a’ is POSITIVE, the parabola will OPEN UPWARD If ‘a’ is NEGATIVE, the parabola will OPEN DOWNWARD

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:

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.

Types of Vertex Minimum: vertex is lowest point ‘a’ is positive Maximum: vertex is highest point ‘a’ is negative

I will transform quadratic parent function by shifting, stretching, or compressing. 3/22 Objective

3/22 Vocabulary Review Parent Function Linear Equation: y = x f(x) = x

3/22 Vocabulary Review Transformation of Linear Equation: y = mx + b f(x) = mx + b

3/22 Vocabulary Parent Function Quadratic Equation: y = x 2 f(x) = x 2

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

3/22 Vocabulary Vertical Stretch: y = ax 2 f(x) = ax 2 “a” greater than one makes parabola narrower

3/22 Vocabulary Vertical Compression: y = ax 2 f(x) = ax 2 “a” less than one makes parabola wider

3/22 Vocabulary Reflection: y = -x 2 f(x) = -x 2 “a” is negative parabola opens downward

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

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

3/22 Assignment Transforming Quadratic Equations

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

3/23 Assignment Finish Quadratic Transformation Worksheet

3/24 Warm Up- Thursday Test Today! Make sure you have: BACKPACKS IN BACK OF ROOM Something to write with Flipchart Calculator

3/25 School Holiday No School Bad Weather Make-up Day