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Splash Screen. Five-Minute Check (over Lesson 10–1) Main Idea and Vocabulary Example 1: Graph Quadratic Functions Example 2: Graph Quadratic Functions Example 3: Graph Quadratic Functions Example 4: Graph Quadratic Functions Example 5: Real-World Example. Lesson Menu.

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 10–1) Main Idea and Vocabulary Example 1: Graph Quadratic Functions Example 2: Graph Quadratic Functions Example 3: Graph Quadratic Functions Example 4: Graph Quadratic Functions Example 5: Real-World Example Lesson Menu

  3. Graph quadratic functions. • quadratic function Main Idea/Vocabulary

  4. Graph Quadratic Functions Graph y = 5x2. To graph a quadratic function, make a table of values, plot the ordered pairs, and connect the points with a smooth curve. Example 1

  5. Graph Quadratic Functions Answer: Example 1

  6. A B C D A.B. C.D. Graph y = 2x2. Example 1

  7. Graph Quadratic Functions Graph y = –4x2. Example 2

  8. Graph Quadratic Functions Answer: Example 2

  9. A B C D A.B. C.D. Graph y = –3x2. Example 2

  10. Graph Quadratic Functions Graph y = 3x2 + 1. Example 3

  11. Graph Quadratic Functions Answer: Example 3

  12. A B C D A.B. C.D. Graph y = 2x2 + 2. Example 3

  13. Graph Quadratic Functions Graph y = –x2 – 2. Example 4

  14. Graph Quadratic Functions Answer: Example 4

  15. A B C D A.B. C.D. Graph y = –2x2 – 1. Example 4

  16. GRAVITY The function d = 4.9t2 describes the distance d in meters that a rock falls from a high cliff during time t. Graph this function. Then use your graph to estimate how long it would take a rock to fall 400 meters. The equation d = 4.9t2 is quadratic, since the variable t has an exponent of 2. Time cannot be negative, so use only positive values of t. Example 5

  17. Answer: The rock will have fallen 400 meters in about 9 seconds. Example 5

  18. A B C D GRAVITY The function h = 200 – 4.9t2 describes the height h in meters that a rock is during a fall from a high building at time t. Graph this function. Then use your graph to estimate how long it would take a rock to be at a height of 77 meters. A.3 s B. 4 s C. 5 s D. 6 s Example 5

  19. End of the Lesson End of the Lesson

  20. Five-Minute Check (over Lesson 10–1) Image Bank Math Tools Area Models of Polynomials Multiplying and Dividing Monomials Resources

  21. A B C D (over Lesson 10-1) Determine whether the graph in the figure represents a linear or nonlinear function. Explain. A.Linear; the graph is a straight line. B. Linear; the graph is a curve. C. Nonlinear; the graph is not a straight line. D. Nonlinear; the graph is not a curve. Five Minute Check 1

  22. A B C D Determine whether the equationrepresents a linear or nonlinear function. Explain. A. B. C.Nonlinear; the slope is negative. D.Nonlinear; the power of x is not greater than 1. (over Lesson 10-1) Five Minute Check 2

  23. A B C D (over Lesson 10-1) Determine whether the equation y = 3x2 + 4 represents a linear or nonlinear function. Explain. A. Linear; the equation forms a curve. B. Linear; the equation forms a straight line. C. Nonlinear; the power of x is not greater than 1. D. Nonlinear; the power of x is greater than 1. Five Minute Check 3

  24. A B C D (over Lesson 10-1) Determine whether the table in the figure represents a linear or nonlinear function. Explain. A.Linear; the x's and y's are increasing at a constant rate. B.Linear; the x's and y's are decreasing at a constant rate. C.Nonlinear; the x's are increasing at a constant rate, but the y's are not. D.Nonlinear; the x's are increasing at a constant rate. Five Minute Check 4

  25. A B (over Lesson 10-1) Milk is $3.98 a gallon (g). The total price (t) of a given number of gallons can be calculated by the equation t = 3.98g. Is this a linear function? A. yes B. no Five Minute Check 5

  26. A B C D A.y = 3x + 5 B. C. D.2x + 3y = 5 (over Lesson 10-1) Which of the following equations represents a nonlinear function? Five Minute Check 6

  27. End of Custom Shows

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