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Published byAshlyn Patrick Modified over 6 years ago
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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
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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)
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Review from Friday Use the graph to find the following: Vertex
Axis of Symmetry X-intercept Y-intercept qqqqqqqqqqqqqqqqqqqqqq
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6.9 Graphing in a Calculator
Quadratics
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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
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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
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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
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Graphing y=ax2 + bx + c Y –intercept is the ordered pair (0,c)
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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
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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: ____________
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State the Domain and Range:
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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
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Ex 2: Standard Form:______________ Graph: Vertex: ____
Axis of symmetry: _____ X-intercept:_____ Y-intercept:_____ Domain Range
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Ex 3: Standard Form:______________ Graph: Vertex: ____
Axis of symmetry: _____ X-intercept:_____ Y-intercept:_____ Domain Range
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Practice Worksheet
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