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
3

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
5

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
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

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
8

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

Question illustration
A
mc003-2.jpg
Option A
B
mc003-3.jpg
Option B
C
mc003-4.jpg
Option C
D
mc003-5.jpg
Option D
10

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

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