Upload
others
View
9
Download
0
Embed Size (px)
Citation preview
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.