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

What is the vertex of the graph of y = x2 + 4x?

A
(–2, –12)
B
(–2, –8)
C
(–2, –6)
D
(–2, –4)
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

Which function is a quadratic function?

A
c(x) = 6x + 3x3
B
d(x) = x – 8x4
C
p(x) = –5x – x2
D
k(x) = 2x2 + 9x4
7

What is the vertex of the graph of y = –x2?

A
(–1, 0)
B
(0, –1)
C
(0, 0)
D
(1, 1)
9

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
10

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

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