4-1 Solve It!
In the computer game, Steeplechase, you press
th
he “jump” button and the horse makes the jump
jum
the
sh
hown. The highest part of the jump must be
b
shown.
dir
rectly above the fence or you lose time. Where
Whe
W
directly
sh
hould this horse be when you press “jump”?
?
should
Ex
xplain your reasoning.
Explain
3
The path of the
jump is a parabola.
2
Path of
the Horse’s Jump
y
3
2
1
x
O 1 2 3 4
1
0
1
2
3
4
5
6
7
8
4-1 Lesson Quiz
1. What are the vertex, the axis of symmetry, the minimum
or the maximum, the domain, and the range of
y 5 25(x 1 2)2 2 8?
1
2. What is the graph of f (x) 5 3(x 2 4)2 2 1?
3. Do you UNDERSTAND? A frog leaps 2 feet. The highest point
in the jump is 6 inches. Assume the frog starts at (0, 0). What
quadratic function models the path of the jump? Specify the
units you use.
Answers
Lesson Quiz
Solve It!
2 units away from the fence;
the horse is at its highest pt. 2
units after beginning the jump.
3. Samples:
1. The vertex is (22, 28);
the axis of symmetry is
x 5 22; k 5 28 is the
maximum value; the domain
is all real numbers; the range
is all real numbers # 28.
2.
1
f (x) 5 224(x 2 12)2 1 6
(inches) or
f (x) 5 21
(x 2 1)2 1 1
(feet)
2
2
f(x)
4
2
f(x) = 1 (x 4)2 1
3
x
O
6
2
Prentice Hall Algebra 2 • Solve It/Lesson Quiz on Transparencies
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