Answers LA-Algebra II AQuadratic Functions

Quadratic Functions Answers

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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

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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

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

Option

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?

One thousand units have the minimum cost of $200,000.

One thousand units have the maximum cost of $200,000.

Two thousand units have the minimum cost of $800,000.

Two thousand units have the maximum cost of $800,000.

Which function is a quadratic function?

u(x) = –x + 3x2 – 8

v(x) = 2x2 + 8x3 + 9x

y(x) = x2 + 3x5 + 4

z(x) = 7x2 + 2x3 – 3

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

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

vertex: (–16, 3)a.o.s: x = –16

vertex: (–3, 20)a.o.s: x = –3

vertex: (3,–16)a.o.s: x = 3

vertex: (20, –3)a.o.s: x = 20

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

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

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Quadratic Functions Answers

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