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Name:__________ warm-up 10-1 What are the coordinates of the vertex of the graph of –3x 2 + 5 = 12x? Is the vertex a maximum or a minimum? Solve x 2 +

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Presentation on theme: "Name:__________ warm-up 10-1 What are the coordinates of the vertex of the graph of –3x 2 + 5 = 12x? Is the vertex a maximum or a minimum? Solve x 2 +"— Presentation transcript:

1 Name:__________ warm-up 10-1 What are the coordinates of the vertex of the graph of –3x 2 + 5 = 12x? Is the vertex a maximum or a minimum? Solve x 2 + 4x = 21. Solve 4x 2 + 16x + 7 = 0

2 A work of art purchased for $1200 increases in value 5% each year for 5 years. What is its value after 5 years? Write the function rule and find the sixth term of a sequence with a first term of 10 and common ratio of –0.5.

3 Details of the Day EQ: How do we work with expressions and equations containing radicals? I will be able to…. Activities: Warm-up Review homework Notes: 10-1 Class work/ HW Vocabulary: Graph and analyze dilations of radical functions. Graph and analyze reflections and translations of radical functions. square root function radical function radicand

4 10-1 Square Root Functions Slope

5 A Quick Review What are the coordinates of the vertex of the graph of –3x 2 + 5 = 12x? Is the vertex a maximum or a minimum? Solve x 2 + 4x = 21. Solve 4x 2 + 16x + 7 = 0

6 A Quick Review A work of art purchased for $1200 increases in value 5% each year for 5 years. What is its value after 5 years? Write the function rule and find the sixth term of a sequence with a first term of 10 and common ratio of –0.5.

7 Notes and examples Make a table: x y

8 Notes and examples x y

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11 TSUNAMIS The speed s of a tsunami, in meters per second, is given by the function where d is the depth of the ocean water in meters. Graph the function. If a tsunami is traveling in water 26 meters deep, what is its speed?

12 Notes and examples When Reina drops her key down to her friend from the apartment window, the velocity v it is traveling is given by where g is the constant, 9.8 meters per second squared, and h is the height from which it falls. Graph the function. If the key is dropped from 17 meters, what is its velocity when it hits the ground?

13 Notes and examples x y

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