Plan For Today:

1. Any questions about anything from Chapter 3?Do the chapter 3 test →

2. Hand-in the ch3 Project C - solving quadratics mystery3. Start going over chapter 4 - graphing quadratic functions

Plan Going Forward:

1. Finish any questions in the worktext by next class (all 4.1-4.2)

2. Check-in quiz on 4.1-4.4 next classCharacteristics of and graphing the quadratic function

3. Ch4 Project A - Matching Quadratic graphs with forms and characteristics Due on Thursday, Oct. 28th

Please let me know if you have any questions or concerns about your progress in this course. The notes from today will be posted at anurita.weebly.com after class.

Tuesday, Oct. 19th

Ch4 Page 1

Ch4 Page 2

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Ch4 Page 4

I will change this slightly to an intro to graphing quadratic equations and characteristics of the graph; including solving by factoring or quadratic formula matching to the x-intercepts on the graph.

Recall: use a table of values to graph equations

4.1-4.2 Graphing Calculator Stuff

Ch4 Page 5

There is a short-cut to graphing a quadratic function. For the basic y=x2 function, the vertex is at (0,0). •

From the vertex, every 1 unit horizontally, moves 1,3,5,7 etc. vertically between points.•

Ch4 Page 6

Terminology for graphing a quadratic:Vertex = minimum or maximum point on the parabola at the curve•Axis of Symmetry = vertical line at the vertex (cuts the graphing in half vertically)•Leading Coefficient = a•

Graphing a quadratic with transformations:Two forms of a quadratic function = vertex form and standard form.•Graphing is best when the quadratic is in vertex form•You can change from standard to vertex form by completing the square•

Ch4 Page 7

Leading Coefficient = a•Min/Max = the y-coordinate at the vertex and is used to determine the range •

Ch4 Page 8

Example:

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Use the pattern for graphing quadratics to multiply by the 'a' value which is the stretch, this will give the graph of the stretched parabola

4.3 Transforming Basic Quadratic = Stretches

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Ch4 Page 11

4.4 Graphing Vertex Form of Quadratic

Ch4 Page 12

Example:

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