Lesson 3.3: Quadratic Functions Answers

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The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t). What does the second coordinate of the vertex of the quadratic function represent?

A
the minimum height of the baseball
B
the time at which the baseball hits the ground
C
the time at which the baseball hits the maximum height
D
the maximum height of the baseball
2
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The path of a football kicked by a field goal kicker can be modeled by the equation y = –0.04x2 + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?

A
15.21 yd
B
19.5 yd
C
38.94 yd
D
45.63 yd
3

What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?

A
x = 2
B
y = 2
C
x = 11
D
y = 11
4

Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?

A
the minimum width that can be used for the fencing
B
the maximum area that can be enclosed by the fencing
C
the width that gives the maximum area
D
the length that gives the maximum area
5

The axis of symmetry of a quadratic equation is x = –3. If one of the zeroes of the equation is 4, what is the other zero?

A
–10
B
–7
C
–6
D
–4
6

The function C(x) = 400x – 0.2x2 represents the total costs for a company to produce a product, where C is the total cost in dollars and x is the number of units sold. Which statement is true?

A
One thousand units have the minimum cost of $200,000.
B
One thousand units have the maximum cost of $200,000.
C
Two thousand units have the minimum cost of $800,000.
D
Two thousand units have the maximum cost of $800,000.
7

What is the equation of the axis of symmetry of the graph of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Which function is a quadratic function?

A
h(t) = 12 – 8t + 6t3
B
g(t) = 7t2 + 3t3 + 2t
C
k(t) = 3t4 + 3t2 + 4
D
h(t) = 12 – t + 6t2
9

Which function is a quadratic function?

A
p(x) = 2x(x2 + 6) + 1
B
m(x) = –4(x + 3) – 2
C
t(x) = –8x2(x2 – 6) + 1
D
h(x) = 3x(x – 2) – 4
10

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats should be produced to keep costs at a minimum?

A
27 bats
B
60 bats
C
174 bats
D
390 bats

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Lesson 3.3: Quadratic Functions Answers — OC27…