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

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

Independent Variable Definitions A variable whose value depends on the value of another variable. It changes in response to another variable. Also called OUTPUTS Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y = ax 2 + c Homework: Textbook- Read Do: P : 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, Dependent Variable The variable that changes another variable. Also called INPUTS Playground Temperature/ Weather Time of day # of Children

Definitions The relationship that pairs each input value with exactly one output variable Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y = ax 2 + c Homework: Textbook- Read Do: P : 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, Function Example: y = 3x + 1 Or f(x) = 3x + 1 Note: f(x) or the function of x is read: “F” of “x”

Recall Classification of Polynomials… Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y = ax 2 + c Homework: Textbook- Read Do: P : 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, PolynomialDegreeName Using Degree# of TermsName using # of terms 60Constant1Monomial 6x + 21Linear2Binomial 2x 2 + 4x + 22Quadratic3Trinomial 21x 3 3Cubic1Monomial 5y 4 - 3y 3 + 2y4Fourth Degree3Trinomial

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

Definitions Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y = ax 2 + c Homework: Textbook- Read Do: P : 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, Axis of symmetry Vertex 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.

Look at the following quadratic equations: a/grapher-equation.html Lets look at some examples: 1.y = x 2 2.y = 2x 2 3.y= -2x 2 4. y = 10x 2 Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y = ax 2 + c Homework: Textbook- Read Do: P : 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, How does the value of “a” affect the vertex of the parabola?

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 Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y = ax 2 + c Homework: Textbook- Read Do: P : 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35

Remove everything from your desk except a pen or pencil QUIZ!!! 5 – 10 minutes Objective: SWBAT… To graph quadratic function of the form y = ax 2 and y = ax 2 + c Homework: Textbook- Read Do: P : 1 – 4, 5, 8, 11, 14, 17, 21, 24, 48, 34-35