Quadratic Inequalities & Systems

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Quadratic Inequalities & Systems Unit 2 Day 11 Quadratic Inequalities & Systems

Warm Up 12. Given the following functions, specifically describe the transformation from the identity function y = x2 y = (x+3)2 – 7 b. y = 5x2 + 12 c. y = ½(x – 2)2 + 4 EXTRA…not in notes! Simplify (5x2 + 3x – 8) + (3x3 - 2x2 + 4) (5x2 + 4x – 9) - (3x3 - 2x2 + 7) Find the exact values of the solutions for 2x2 + 4x = 8 Get Regression equation for Verrazano together, then students complete the other questions.

Warm Up ANSWERS 12. Given the following functions, specifically describe the transformation from the identity function y = x2 y = (x+3)2 – 7 y = 5x2 + 12 y = ½(x – 2)2 + 4 Translate 3 units left and 7 units down. Translate 12 units up and make narrower by a factor of 5 Translate 2 units right and 4 units up. Make wider by a factor of ½ .

Warm Up ANSWERS EXTRA…not in notes! Simplify (5x2 + 3x – 8) + (3x3 - 2x2 + 4) (5x2 + 4x – 9) - (3x3 - 2x2 + 7) Find the exact values of the solutions for 2x2 + 4x = 8 3x3 + 3x2 + 3x - 4 -3x3 + 7x2 + 4x - 16

Homework Pg 13 (evens) 2. Translate Left 2 4. Reflect over the x-axis, vertical stretch by 4 6. Vertical shrink by 1/3 8. Translate right 4, vertical stretch by 2 10. Translate right 4, reflect over the x-axis, translate up 2 12. Translate right 1, vertical stretch by 3, translate down 2.

Homework Pg14 (-6,3) (-4,-3) (1,-3) (3,3) No, just key points. [-6,3] [-3,3]

Notes: Solving and Graphing Quadratic Inequalities & Systems Day 11

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Example 2 Graph:

You Try! Bottom of Notes p. 40 Graph: Graph:

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Solving Quadratic Inequalities Example: Solve Example: Solve

You Try! Solve: Solve: Fix this typo!!

Solve a linear and Quadratic System by Graphing

Solve a linear and Quadratic System by Graphing

Solve a linear and Quadratic System by Graphing

Applications Practice Around the Room Activity Musical Chairs Around the Room Activity Musical Chairs Activity…Applications

Homework Packet Pg 15-16 BUT ALSO – it is not just a good, but a smart time to start studying. To start reviewing work on the review homework Pg 17-20. It is not due until test day but it is good to start looking at them now!!!! I mean it!