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

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.

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

10-1 Square Root Functions Slope

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

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.

Notes and examples Make a table: x y

Notes and examples x y

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?

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?

Notes and examples x y