AnswersMathematics III AMultiplication of Polynomials

Quadratic Functions Answers

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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.
2
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Which function is a quadratic function?

A
u(x) = –x + 3x2 – 8
B
v(x) = 2x2 + 8x3 + 9x
C
y(x) = x2 + 3x5 + 4
D
z(x) = 7x2 + 2x3 – 3
3

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
5

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

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
mc003-5.jpg
Option D
6

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

Question illustration
A
vertex: (–16, 3)a.o.s: x = –16
B
vertex: (–3, 20)a.o.s: x = –3
C
vertex: (3,–16)a.o.s: x = 3
D
vertex: (20, –3)a.o.s: x = 20
7

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
8

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
10

The height of an arch is modeled by the equation . Which of the following gives the width of the arch at its base?

Question illustration
A
the y-coordinate of the vertex
B
double the x-coordinate of the vertex
C
the y-intercept of the equation
D
the difference between the zeroes

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