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Warm-up

Warm-up. Graph the following equations. y = x 2 – 4x + 3 y = 2(x – 3) 2 - 1. Math II. UNIT QUESTION: What is a quadratic function? Standard: MM2A3, MM2A4 Today’s Question: How do we find domain, range, and zeroes for different quadratic models? Standard: MM2A3.c.

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Warm-up

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  1. Warm-up • Graph the following equations. • y = x2 – 4x + 3 • y = 2(x – 3)2 - 1

  2. Math II UNIT QUESTION: What is a quadratic function? Standard: MM2A3, MM2A4 Today’s Question: How do we find domain, range, and zeroes for different quadratic models? Standard: MM2A3.c.

  3. Domain and Range: Graph Domain- Look horizontally: What x-values are contained in the graph? That’s your domain! Range- Look vertically: What y-values are contained in the graph? That’s your range!

  4. Domain and Range: Graph

  5. Domain and Range: Graph

  6. Maximum and Minimum Maximum value: the highest y value seen in the data or on the graph. Minimum value: the lowest y value seen in the data or on the graph.

  7. Max and Min: Graph

  8. Zeros: Graph

  9. Increasing and Decreasing: Graph To find where the graph is increasing and decreasing trace the graph with your finger from left to right. Specify x-values! If your finger is going up, the graph is increasing. If your finger is going down, the graph is decreasing.

  10. Increasing and Decreasing

  11. Increasing and Decreasing

  12. End Behavior: Graph The value a function, f(x), approaches when x is extremely large (∞) or when x is extremely small (-∞).

  13. End Behavior -∞ ∞

  14. End Behavior

  15. End Behavior

  16. End Behavior

  17. End Behavior

  18. Class work Page 60: #6-12 (even) Page 73: #1-5

  19. Homework Page 60 – 61: #5-13 (odd) Page 73: #1-11 (odd)

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