Answers AZ-Common Core Algebra II AQuadratic Functions

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?

the minimum height of the baseball

the time at which the baseball hits the ground

the time at which the baseball hits the maximum height

the maximum height of the baseball

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

(–2, –12)

(–2, –8)

(–2, –6)

(–2, –4)

Which function is a quadratic function?

h(t) = 12 – 8t + 6t3

g(t) = 7t2 + 3t3 + 2t

k(t) = 3t4 + 3t2 + 4

h(t) = 12 – t + 6t2

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?

27 bats

60 bats

174 bats

390 bats

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?

the minimum width that can be used for the fencing

the maximum area that can be enclosed by the fencing

the width that gives the maximum area

the length that gives the maximum area

Which function is a quadratic function?

p(x) = 2x(x2 + 6) + 1

m(x) = –4(x + 3) – 2

t(x) = –8x2(x2 – 6) + 1

h(x) = 3x(x – 2) – 4

Which function is a quadratic function?

c(x) = 6x + 3x3

d(x) = x – 8x4

p(x) = –5x – x2

k(x) = 2x2 + 9x4

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

x = 2

y = 2

x = 11

y = 11

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?

–10

–7

–6

–4

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

the y-coordinate of the vertex

double the x-coordinate of the vertex

the y-intercept of the equation

the difference between the zeroes

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Quadratic Functions Answers

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