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Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y =ax 2 + c

Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35. Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y =ax 2 + c. Bell Ringer: Analyze -16x 2 + 64 … explain what it is and classify it. 5 minutes 4 minutes

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Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y =ax 2 + c

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  1. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y =ax2 + c Bell Ringer: Analyze -16x2 + 64 … explain what it is and classify it. • 5 minutes • 4 minutes • 3 minutes • 2 minutes • 1 minute • 30 seconds • TIMES UP!!!

  2. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c There are 6 children playing in a playground . Is the number of children playing a constant or a variable quantity? Consider The # of children is a variable quantity because it will change. What other variables might affect the number of children at the playground? Time of day; temperature… • quantity of children • Time of day • temperature What are the variables in the playground scenario?

  3. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Definitions A variable whose value depends on the value of another variable. It changes in response to another variable. Also called OUTPUTS Dependent Variable Independent Variable The variable that changes another variable. Also called INPUTS Temperature/Weather Playground # of Children Time of day

  4. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Definitions The relationship that pairs each input value with exactly one output variable Function Example: y = 3x + 1 Or f(x) = 3x + 1 Note: f(x) or the function of x is read: “F” of “x”

  5. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Recall Classification of Polynomials…

  6. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Definitions A function that can be written in the form of y = ax2 bx + c , where a≠ 0. This form is called standard form of a quadratic equation Quadratic Function Example: y = 3x2 y = x2 + 9 y = x2 -x -2 Note: f(x) or the function of x is read: “F” of “x” Parabola The graph of a quadratic function that is like a U-shaped curve The simplest quadratic function is f(x) = x2 or y = x2. , called the quadratic parent function

  7. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Definitions Axis of symmetry The fold or line that divides the parabola into to matching halves The highest or lowest point of a parabola, which is the axis is symmetry. Vertex

  8. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Lets look at some examples: http://www.mathsisfun.com/data/grapher-equation.html • y = x2 • y = 2x2 • y= -2x2 • 4. y = 10x2 Look at the following quadratic equations: How does the value of “a” affect the vertex of the parabola?

  9. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Explain how your knowledge of slope can help you remember how the value of the “a” (from standard form) affects the width of a parabola? Reflection

  10. Homework: Textbook- Read 546 - 549 Do: P. 549 -552: 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35 Objective: SWBAT… To graph quadratic function of the form y = ax2 and y = ax2 + c Remove everything from your desk except a pen or pencil QUIZ!!! 5 – 10 minutes

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