Quadratic Functions

Question 1

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?

Revolt · Accepted Answer

60 bats

Question 2

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?

Revolt · Accepted Answer

the maximum area that can be enclosed by the fencing

Question 3

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?

Revolt · Accepted Answer

–10

Question 4

Which function is a quadratic function?

Revolt · Accepted Answer

u(x) = –x + 3x2 – 8

Question 5

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

Revolt · Accepted Answer

mc003-3.jpg

Question 6

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

Revolt · Accepted Answer

(0, 0)

Question 7

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?

Revolt · Accepted Answer

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

Question 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?

Revolt · Accepted Answer

the maximum height of the baseball

Question 9

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

Revolt · Accepted Answer

vertex: (3,–16)a.o.s: x = 3

Question 10

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

Revolt · Accepted Answer

x = 2

Quadratic Functions Answers

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