Quiz #1 Review

Standard Form, Vertex Form, Intercept Form, and

Factoring Quadratic Equations Textbook 1.1 – 1.4

Suggested Problems 1

For the function , fill the table below, and then plot points of pairs on the right.

x -2 -1 0 1 2

f(x)

What are the values of a, b, and c? Is the value of a positive or negative? What is the value of ? What are x and y-values of the vertex? What are the values of x-intercepts?

What is the value of y-intercept?

Suggested Problems 1 - SOLUTIONS -

For the function , fill the table below, and then plot points of pairs on the right.

x -2 -1 0 1 2

f(x) 0 -3 -4 -3 0

What are the values of a, b, and c? a: 1 b: 0 c: -4 Is the value of a positive or negative? Positive What is the value of ? What are x and y-value of the vertex? (0, -4)

What are the values of x-intercepts? -2, 2 What is the value of y-intercept? -4

Suggested Problems 2

Workbook, p.2 Graph the function. Label the vertex and the axis of symmetry

10. 12.

14. 19.

Suggested Problems 2 - SOLUTIONS -

Workbook, p.2 Graph the function. Label the vertex and the axis of symmetry

10. 12.

14. 19.

(0, -3)

X=0

(-3/2, -7/2)

X=-3/2

(-2, 13)

X=-2

(3, 3.5)

X=3

(0, 1) (-3, 1)

(0, 1) (-4, 1)

(0, -1) (6, -1)

Suggested Problems

4) 5)

7) 9)

Workbook p.4 Graph the function. Label the vertex and the axis of symmetry

Suggested Problems - SOLUTIONS -

4) 5)

7) 9)

Workbook p.4

Suggested Problems

Workbook p.5 Graph the function. Label the vertex and the axis of symmetry, and x-intercepts.

10) 12) 13)

Suggested Problems - SOLUTIONS -

Workbook p.5 Graph the function. Label the vertex and the axis of symmetry, and x-intercepts.

10) 12) 13)

Suggested Problems

Find the roots of equations.

Find the x-intercepts of functions.

Suggested Problems - SOLUTIONS -

Find the roots of equations.

Find the x-intercepts of functions.

x-ints: x-ints:

Suggested Problems

Workbook p.9 Factor the expression. If the expression cannot be factored, say so.

1) 3)

4) 5)

19) 21)

Suggested Problems - SOLUTIONS -

Workbook p.9 Factor the expression. If the expression cannot be factored, say so.

1) 3)

4) 5)

Cannot be factored Cannot be factored

19) 21)

Suggested Problems 1

Workbook p.10 Solve the equation

Workbook. p.6 Find the min value of the max value of the function.

Suggested Problems 1 - SOLUTIONS -

Workbook p.10 Solve the equation

Workbook. p.6 Find the min value of the max value of the function.

Group Discussion 1

A monthly teen magazine has 28,000 subscribers when it charges $10 per annual subscription. For each $1 increase in price, the magazine loses about 2,000 subscribers.

* Let x represent the price increase and R(x) represent the annual revenue, and then write a quadratic function to model the relationship between the annual revenue and the price increase.

* How much should the magazine charge to maximize annual revenue?

* What is the maximum annual revenue?

Text p.28

Problem Solving

A city’s skate park is a rectangle 100 feet long by 50 feet wide. The city wants to triple the area of the skate park by adding the same distance x to the length and the width. Write and solve an equation to find the value of x. What are the new dimensions of the skate park?

Text p.23

Suggested Problems 2

Workbook p.10

37

Suggested Problems 2 - SOLUTION -

Workbook p.10

(3.25 + 2x) (3 + 2x) = 15

x = -3.5 or 0.375

but x cannot be -3.5 so only answer is x = 0.375.

Note: It will be difficult to solve this problem without a calculator. For quiz #1,

there will be no problem requiring a calculator.