1. 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

2. 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)

3. Review from Friday Use the graph to find the following: Vertex
Axis of Symmetry
X-intercept
Y-intercept
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4. 6.9 Graphing in a Calculator
Quadratics

5. 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

6. 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

7. 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

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

9. 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

10. 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: ____________

11. State the Domain and Range:

12. 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

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

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

15. Practice Worksheet