HSM11_Solve It_09.indd

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
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2/26/09 5:56:29 PM