Modeling With Quadratic Functions Worksheet - Section 2.4 Page 6
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1
2
3
4
5
6
7
8Exercises
2.4
Dynamic Solutions available at
Vocabulary and Core Concept Check
Vocabulary and Core Concept Check
WRITING
1.
Explain when it is appropriate to use a quadratic model for a set of data.
DIFFERENT WORDS, SAME QUESTION
2.
Which is different? Find “both” answers.
y
f
What is the average rate of
What is the distance
4
change over 0 ≤ x ≤ 2?
from f(0) to f(2)?
2
f(2) − f(0)
What is the slope of the
1
—
What is
?
line segment?
2 − 0
−1
x
1
2
3
4 5
Monitoring Progress and Modeling with Mathematics
Monitoring Progress and Modeling with Mathematics
In Exercises 3–8, write an equation of the parabola in
WRITING
15.
Explain when to use intercept form and
vertex form.
(See Example 1.)
when to use vertex form when writing an equation of
a parabola.
y
y
3.
4.
(8, 3)
ANALYZING EQUATIONS
8
16.
Which of the following
(–2, 6)
equations represent the parabola?
(–1, 3)
x
8
(4, −1)
−4
y
x
4
(2, 0)
−8
−2
x
4
(−1, 0)
5.
passes through (13, 8) and has vertex (3, 2)
−4
(0.5, −4.5)
passes through (−7, −15) and has vertex (−5, 9)
6.
passes through (0, −24) and has vertex (−6, −12)
7.
A
y = 2(x − 2)(x + 1)
○
B
y = 2(x + 0.5)
− 4.5
2
○
8.
passes through (6, 35) and has vertex (−1, 14)
C
y = 2(x − 0.5)
− 4.5
2
○
In Exercises 9–14, write an equation of the parabola in
intercept form.
(See Example 2.)
y = 2(x + 2)(x − 1)
D
○
9.
10.
y
y
In Exercises 17–20, write an equation of the parabola in
(3, 4)
x
vertex form or intercept form.
4
−2
(2, 0)
(4, 0)
(−1, 0)
17.
18.
(1, −2)
−4
x
8
Flare Signal
New Ride
−4
−4
(2, 0)
y
y
(0, 180)
(3, 150)
(1, 164)
160
160
x-intercepts of 12 and −6; passes through (14, 4)
11.
80
80
(1, 86)
x-intercepts of 9 and 1; passes through (0, −18)
12.
0
0
6 x
x
0
2
4
0
2
4
x-intercepts of −16 and −2; passes through (−18, 72)
13.
Time (seconds)
Time (seconds)
x-intercepts of −7 and −3; passes through (−2, 0.05)
14.
80
Chapter 2
Quadratic Functions
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