9-1 Solve It! A certain type of function models the motion of a falling object. As a cat walks along the railing of a balcony, it knocks a flowerpot off the railing. The function h ( t ) 5 216t 2 1 c gives the height h of the flowerpot after t seconds when it falls from a height of c feet. How long will it take the flowerpot to reach the ground? Explain your reasoning. 64 ft 9-1 Lesson Quiz y 1. What is the vertex of the graph? Is it a 4 minimum or a maximum? 2 4 O 2 x 2 4 2 4 2. What is the order, from widest to narrowest graph, of 1 the quadratic functions f (x) 5 20.5x2 , f (x) 5 4x2 , and f (x) 5 x2 ? 3. Do you UNDERSTAND? How is the graph of f (x) 5 23x2 2 4 different from the graph of f (x) 5 3x2 ? 4. Kyle drops a ball from a height of 15 feet above the ground. The function h 5 16t2 1 15 gives the height h of the ball (in feet) after t seconds. Graph the function to determine at about what time the ball hits the ground. 0534_hsm11a1seNA_0901.indd 534 Answers Lesson Quiz Solve It 2 s; explanations may vary. 1. (1, 3), maximum 2. f (x) 5 1 x2 , f (x) 5 20.5x2 , 4 f (x) 5 x2 3. It is shifted 4 units down. 4. just under 1 s Prentice Hall Algebra 1 • Solve It/Lesson Quiz on Transparencies Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 64 2/26/09 5:56:29 PM
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