Warm-Up March 10th Find the perimeter and area of the rectangle below.

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Presentation transcript:

Warm-Up March 10th Find the perimeter and area of the rectangle below. Multiply (2x2 – 1)(4x3 +3x – 5) Simplify (x – 5) – (-5x2 + 4x – 6) 4x - 3 2x + 5

HW Check – 6.8 (p + 1)(3p – 5) (2n – 3)(n + 3) (3n – 2)(n – 2) (2v + 1)(v + 5) (2n + 1)(n + 2) (7a + 4)(a + 7) 3(3k + 1)(k + 7)

Review from Friday Use the graph to find the following: Vertex Axis of Symmetry X-intercept Y-intercept qqqqqqqqqqqqqqqqqqqqqq

6.9 Graphing in a Calculator Quadratics

Properties of Parabolas Graph the following functions on a graphing Calculator. What do you notice? 1. Y1: y = x2 Y2: y = -x2 2. Y1: y = ½x2 + 2 Y2: y = -½x2 + 2

Properties of Parabolas If a is POSITIVE then the parabola opens UP IF a is NEGATIVE then the parabola opens DOWN Would the following parabolas open up or down? a) y = -2x2 + 5 b) y = x2 – 3x - 1

Properties of Parabolas Graph the following functions on a graphing Calculator. What do you notice? 1. y = x2 + 3x – 5 y = 4x2 + x – 5 2. y = 3x2+ 2x + 3 y = -x2 – 4x + 3

Graphing y=ax2 + bx + c Y –intercept is the ordered pair (0,c)

Calculator Commands Graph: Y=  Graph Vertex: 2nd Trace  Min or Max (left bound, right bound, enter) X-Intercepts: 2nd Trace  Zero (find each one separately) Y-Intercept: 2nd Graph  find where x is zero in the table

Domain and Range Domain: all possible x-values Domain will ALWAYS be All Real Numbers for a Quadratic Function Range: all possible y-values The Range will vary: Opens Up: ______________ Opens Down: ____________

State the Domain and Range:

Use a graphing calculator to answer the following questions Use a graphing calculator to answer the following questions. All equations must be in y= before we can graph them using the calculator. Ex. 1 Standard Form:__________ Graph: Vertex: ____ Axis of symmetry: _____ X-intercept:_____ Y-intercept:_____ Domain Range

Ex 2: Standard Form:______________ Graph: Vertex: ____ Axis of symmetry: _____ X-intercept:_____ Y-intercept:_____ Domain Range

Ex 3: Standard Form:______________ Graph: Vertex: ____ Axis of symmetry: _____ X-intercept:_____ Y-intercept:_____ Domain Range

Practice Worksheet