Write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x - h)2+ k), and rewrite the equation from vertex form to standard form (f(x) = ax2+ bx + c).
Determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d.
Graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry.
Determine the domain and range of quadratic functions and represent the domain and range using inequalities.
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Q 1/84
Score 0
Which of the following graphs best represents a system of equations that has no solution?
45
Q 2/84
Score 0
The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked. What does the slope of the graph represent?
60
The number of hours of work it takes to earn $320
The number of hours worked per dollar earned
The amount of money earned per hour
The amount earned for 40 hours of work
84 questions
Q.
Which of the following graphs best represents a system of equations that has no solution?
1
45 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked. What does the slope of the graph represent?
2
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
3
60 sec
A.8.A: Quadratic Equations
Q.
4
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
5
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
6
60 sec
A.8.A: Quadratic Equations
Q.
7
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
8
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
9
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
10
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
11
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
12
60 sec
A.7.C: Effects Of Parent Function
Q.
13
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
An architect is designing an office building with n floors that will have an FM radio antenna 15.85 m tall on its roof. Each floor of the building will be 3.9 m high. Which function can be used to find the total height of the building in meters, including the FM antenna?
14
60 sec
A.7.A: Graph Quadratic Functions
Q.
15
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
16
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
17
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
18
60 sec
A.6.A: Quadratic Functions Using Inequalities
Q.
A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes. Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?
19
60 sec
A.8.A: Quadratic Equations
Q.
The graph shows the time it took a worker to package 16 bottles of shampoo. The next day two workers packaged twice the number of bottles of shampoo in the same amount of time. If this new relationship is graphed on the same coordinate grid, which statement is true?
20
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
21
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
A student bought concert tickets online. The total cost, c, in dollars, of t tickets can be found
using the function below.
c = 24.50t + 9.50
If the student spent a total of $83 on tickets, how many tickets did he buy?
22
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
The graph shows the relationship between the number of cookies a presenter at a convention had left to give away and the number of presentations she had made. What does the x-intercept of the graph represent?
23
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
There are 156 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number of laptops in the lab?
24
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
The approximate distance in miles between Los Angeles and a commercial jet flying from Boston to Los Angeles can be found using the function m = β475t + 2,650, where t is the number of hours the jet has been flying. Which number of hours and minutes is closest to the amount of time that the jet has been flying if the jet is 1,500 miles from Los Angeles?
25
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
26
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
27
60 sec
A.7.C: Effects Of Parent Function
Q.
Which of the following describes all the solutions to the inequality 5x + 7y β₯ 22 when y = β4?
28
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
The table shows the playing time in minutes of high-definition videos and the file size of these videos in megabytes (MB). What does the slope of the graph of this situation represent?
29
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
30
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
What is the equation of the line that has a slope of 0 and passes through the point (6, β8)?
31
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
A candy company sells cases of chocolate bars. The company has fixed costs of $30,000, and each case of chocolate bars costs an additional $5 to make. The company sells each case for $10. The graph of a system of linear equations representing this companyβs costs and revenue for manufacturing and selling x cases of chocolate bars is shown below.
How many cases of chocolate bars will this company need to sell in order for costs and revenue to be equal?
32
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
33
60 sec
A.7.A: Graph Quadratic Functions
Q.
A man bought x boxes of doughnuts for $3.49 each. He paid with a $50 bill and received the correct amount of change. If he received more than $10 but less than $20, which inequality represents the number of boxes of doughnuts he could have bought?
34
45 sec
A.7.C: Effects Of Parent Function
Q.
The function y = 6 + 1.25x can be used to find the cost of joining an online music club and buying x songs from the website. Based on this information, which statement about the graph of this situation is true?
35
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
One wall inside a shoe store is used to display walking shoes and running shoes. There are 135 pairs of shoes in this display. There are 1.5 times as many pairs of walking shoes as there are running shoes on display. How many pairs of walking shoes and running shoes are on display?
36
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
37
45 sec
A.6.A: Quadratic Functions Using Inequalities
Q.
38
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
39
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
The graph of an equation in the form y = mx + b is shown on the grid.
Based on the graph, what is the value of x when y = β7?
40
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
41
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
A new spiral notebook contains 30 more sheets of paper than a new memo book. The total number of sheets of paper in 3 new spiral notebooks and 5 new memo books is 810. Which system of equations can be used to find s, the number of sheets of paper in one new spiral notebook, and m, the number of sheets of paper in one new memo book?
42
60 sec
A.8.A: Quadratic Equations
Q.
43
60 sec
A.7.A: Graph Quadratic Functions
Q.
44
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
The table represents some points on the graph of linear function g. The graph of g was translated down 10 units to create the graph of function h. Which statement comparing the graphs of g and h is true?
45
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
Which inequality represents all the values of x for
y β€ 6(x β 18) β 2 when y = 46?
46
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
47
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
Two functions are given below. How does the graph of p compare with the graph of q?
48
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
The owner of a clothing store buys T-shirts for c dollars each and sells them for p dollars each. Last month she bought 600 T-shirts and sold 500 of them and made a profit of $2,800. This month she bought 400 T-shirts and sold them all and made a profit of $2,400. Which system of equations can be used to determine the values of c and p?
49
60 sec
A.8.A: Quadratic Equations
Q.
The graph below shows the relationship between the number of gallons of fuel remaining in a truck and the number of hours the truck has been driven. What does the x-intercept of the graph represent?
50
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
51
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
52
60 sec
A.7.C: Effects Of Parent Function
Q.
The table shows some ordered pairs that belong to quadratic function h. What is the range of h?
53
60 sec
A.6.A: Quadratic Functions Using Inequalities
Q.
54
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
55
60 sec
A.8.A: Quadratic Equations
Q.
56
60 sec
A.7.C: Effects Of Parent Function
Q.
57
60 sec
A.8.A: Quadratic Equations
Q.
The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers. What is the maximum value of g?
58
60 sec
A.7.A: Graph Quadratic Functions
Q.
59
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
60
60 sec
A.7.C: Effects Of Parent Function
Q.
61
60 sec
A.7.A: Graph Quadratic Functions
Q.
Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?
62
60 sec
A.6.A: Quadratic Functions Using Inequalities
Q.
63
60 sec
A.7.C: Effects Of Parent Function
Q.
64
60 sec
A.8.A: Quadratic Equations
Q.
65
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
The graph of quadratic function f is shown on the grid. What is the y-intercept of the graph of f?
66
60 sec
A.7.A: Graph Quadratic Functions
Q.
67
60 sec
A.7.C: Effects Of Parent Function
Q.
68
60 sec
A.6.A: Quadratic Functions Using Inequalities
Q.
69
60 sec
A.8.A: Quadratic Equations
Q.
70
60 sec
A.8.B: Solve & Predict Quadratic Functions
Q.
71
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?
72
60 sec
A.7.A: Graph Quadratic Functions
Q.
Which graph best represents a function with a range of all real numbers greater than or equal to -6?
73
60 sec
A.6.A: Quadratic Functions Using Inequalities
Q.
74
60 sec
A.6.A: Quadratic Functions Using Inequalities
Q.
75
60 sec
A.6.C: Quadratic Functions Solutions & Graphs
Q.
76
60 sec
A.7.C: Effects Of Parent Function
Q.
77
60 sec
A.7.B: Linear Factors Of Quadratic Expressions
Q.
78
60 sec
A.8.A: Quadratic Equations
Q.
79
60 sec
A.6.B: Quadratic Functions On Graphs
Q.
Which graph best represents a quadratic function that has only one zero?