Answer & Explanation:Quadratic Functions and Equations.pdf
quadratic_functions_and_equations.pdf
Unformatted Attachment Preview
Quadratic Functions and Equations Unit Test
18/11/15 20:42
Quadratic Functions and Equations Unit Test
Frank Gjurashaj is taking this assessment.
Multiple Choice
1. The graph of y = x2 is shown below.
(1 point)
Which of the following could be the graph of y = x2 – 3 ?
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 1 of 12
Quadratic Functions and Equations Unit Test
2.
18/11/15 20:42
(1 point)
Which equation could be solved using the graph above?
x2 + x – 2 = 0
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 2 of 12
Quadratic Functions and Equations Unit Test
18/11/15 20:42
x2 + 2x + 1 = 0
x2 – 1 = 0
x2 – 2x + 1 = 0
3. What is the solution to
? (1 point)
4. What are the zeroes of y = x2 – 4x – 5? (1 point)
1, –5
1, 5
–1, –5
–1, 5
5.
(1 point)
How many real solutions does the function shown on the graph have?
no real solutions
one real solution
two real solutions
cannot be determined
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 3 of 12
Quadratic Functions and Equations Unit Test
6. A football is kicked into the air from an initial height of 3 feet. The height, in feet, of the
football above the ground is given by
, where t is time in
seconds and
. Which is closest to the time when the football will be 20 feet above the
ground?
18/11/15 20:42
(1 point)
2.72 seconds
0.73 seconds or 1.46 seconds
0.53 seconds
0.53 seconds or 2.72 seconds
7. The lengths of the sides of a rectangular window have the ratio 1.7 to 1. The area of the
window is 2,720 square inches. What are the dimensions of the window?
(1 point)
40 inches by 136 inches
40 inches by 65 inches
40 inches by 34 inches
40 inches by 68 inches
8. What is the solution to the following equation? (1 point)
x = 6 or x = 8
x = –6 or x = –8
x = 4 or x= 12
x = –4 or x = –12
9. Max makes and sells posters. The function p(x) = –10×2 + 200x – 250, graphed below,
indicates how much profit he makes in a month if he sells the posters for 20 – x dollars each.
(1 point)
What should Max charge per poster to make the maximum profit, and what is the maximum
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 4 of 12
Quadratic Functions and Equations Unit Test
18/11/15 20:42
What should Max charge per poster to make the maximum profit, and what is the maximum
profit he can make in a month?
$800 at $10 per poster
$800 at $5 per poster
$750 at $10 per poster
$750 at $5 per poster
10. Use graphing to find the solutions to the system of equations. (1 point)
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 5 of 12
Quadratic Functions and Equations Unit Test
11.
18/11/15 20:42
(1 point)
Which of the following are the most likely factors of the function graphed above?
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 6 of 12
Quadratic Functions and Equations Unit Test
18/11/15 20:42
(x)(x + 6)
(x)(x – 6)
(x – 2)(x + 3)
(x + 2)(x – 3)
12. Suppose a parabola has an axis of symmetry at
, a maximum height of 9, and passes
through the point
. Write the equation of the parabola in vertex form.
(1 point)
True or False
13. Any number in the form of a ± bi, where a and b are real numbers and b ≠ 0 is considered a
pure imaginary number.
(1 point)
True
False
14. The minimum value of a function is the smallest y-value of the function. (1 point)
True
False
15. i2 =
(1 point)
True
False
16. Complex numbers can be graphed on the real xy coordinate plane. (1 point)
True
False
17. What is the vertex form of the equation? (2 points)
y = –x2 +12x – 4
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 7 of 12
Quadratic Functions and Equations Unit Test
Select attachment
18/11/15 20:42
or drag and drop a file into this area – 20 MB limit
18. What is the expression in factored form? (2 points)
2×2 + 16x + 24
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 8 of 12
Quadratic Functions and Equations Unit Test
Select attachment
18/11/15 20:42
or drag and drop a file into this area – 20 MB limit
19. Use the quadratic formula to solve the equation. (2 points)
x2 – 7x – 6 = 0
https://www.connexus.com/content/render.aspx?disableAssessm…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 9 of 12
Quadratic Functions and Equations Unit Test
Select attachment
18/11/15 20:42
or drag and drop a file into this area – 20 MB limit
20. Simplify the expression. (2 points)
(–2i)(8i)
https://www.connexus.com/content/render.aspx?disableAssess…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 10 of 12
Quadratic Functions and Equations Unit Test
Select attachment
18/11/15 20:42
or drag and drop a file into this area – 20 MB limit
Essay
Note: Your teacher will grade your response to ensure you receive proper credit for your answer.
21. Describe the benefits of writing a quadratic equation in vertex form and the benefits of writing (4 points)
a quadratic equation in standard form. Name specific methods you can use while working with
one form or the other.
https://www.connexus.com/content/render.aspx?disableAssess…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 11 of 12
Quadratic Functions and Equations Unit Test
18/11/15 20:42
© 2015 Connections Education LLC.
https://www.connexus.com/content/render.aspx?disableAssess…er=1393561&page=1&header=true&idUnit=30174&idLesson=340091
Page 12 of 12
…
Purchase answer to see full
attachment
You will get a plagiarism-free paper and you can get an originality report upon request.
All the personal information is confidential and we have 100% safe payment methods. We also guarantee good grades
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more