Call Now to Set Up Tutoring:

(888) 888-0446

Algebra II : Understanding Quadratic Equations

Study concepts, example questions & explanations for Algebra II

Create An Account

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1411 : Algebra Ii

Determine the discriminant for the function: y=3x^2-2x-3

Possible Answers:

Correct answer:

Explanation:

Write the formula for the discriminant. This is the inner quantity of the square root of the quadratic formula.

b^2-4ac

The polynomial is already written in the form of: y=ax^2+bx+c

Identify the coefficients for y=3x^2-2x-3 .

a=3, b=-2, c=-3

Substitute these values to find the discriminant.

b^2-4ac = (-2)^2-4(3)(-3) = 4+36 = 40

The discriminant is:

Report an Error

Example Question #1412 : Algebra Ii

Determine the discriminant of: y=3x^2-9x-1

Possible Answers:

Correct answer:

Explanation:

The discriminant is the inner quantity of the radical of the quadratic formula.

Write the expression for the discriminant.

b^2-4ac

The polynomial is already in y=ax^2+bx+c format. Identify the coefficients of the polynomial.

a=3, b=-9, c=-1

Substitute these values to find the discriminant.

b^2-4ac = (-9)^2-4(3)(-1) = 81+12 = 93

The discriminant is:

Report an Error

Example Question #1411 : Algebra Ii

Determine the discriminant of the following equation: y=8x^2-6x

Possible Answers:

192

Correct answer:

Explanation:

Write the formula for the discriminant. This is the term inside the square root of the quadratic equation.

D=b^2-4ac

The polynomial is written in the form: y=ax^2+bx+c

a=8, b=-6, c=0

Substitute the values into the discriminant formula.

D=b^2-4ac = (-6)^2-4(8)(0) = 36

The answer is:

Report an Error

Example Question #21 : Discriminants

Find the discriminant for the quadratic equation y=2x^2 + 5x -12

Possible Answers:

121

Correct answer:

121

Explanation:

The discriminant is found by using the formula b^2 -4ac . In this case:

5^2 - 4(2)(-12 ) = 25 + 96 = 121

Report an Error

Example Question #22 : Discriminants

Find the discriminant for the quadratic equation y=4x^2 +17x -77

Possible Answers:

943

1521

Correct answer:

1521

Explanation:

The discriminant is found using the formula b^2 - 4ac . In this case:

17^2 - 4(4)(-77 ) = 289 + 1,232 = 1,521

Report an Error

Example Question #23 : Discriminants

Find the discriminant for the quadratic equation y=6x^2 -19 x + 10

Possible Answers:

421

121

601

Correct answer:

121

Explanation:

To find the discriminant, use the formula b^2 - 4ac . In this case:

(-19)^2 - 4(6)(10) = 361 - 240 = 121

Report an Error

Example Question #24 : Discriminants

Find the discriminant for the quadratic equation y=2x^2 -5x - 25

Possible Answers:

175

225

Correct answer:

225

Explanation:

To find the discriminant, use the formula b^2 - 4ac . In this case:

(-5)^2 - 4(2)(-25) = 25 + 200 = 225

Report an Error

Example Question #21 : Discriminants

Determine the discriminant of the quadratic: y=4x^2-3

Possible Answers:

$\textup{There is no discriminant.}$

Correct answer:

Explanation:

The quadratic function is in the form of y=ax^2+bx+c .

The discriminant is the term inside the square root of the quadratic function defined as: D=b^2-4ac

Identify the coefficients.

a=4,b=0, c=-3

Substitute the values into the equation.

D=0-4(4)(-3) = 48

The answer is:

Report an Error

Example Question #1418 : Algebra Ii

Determine the discriminant of the following polynomial: y=3-6x^2-5x

Possible Answers:

Correct answer:

Explanation:

Reorder the equation in y=ax^2+bx+c standard format.

y=3-6x^2-5x

y=-6x^2-5x+3

The discriminant is the term inside the square root of the quadratic equation.

D= b^2-4ac

Identify and substitute the coefficients for each term of the polynomial in standard form.

D= (-5)^2-4(-6)(3) =25+72 = 97

The answer is:

Report an Error

Example Question #1421 : Algebra Ii

Determine the discriminant: y=6-x^2

Possible Answers:

Correct answer:

Explanation:

Rewrite the equation in standard form.

y=ax^2+bx+c

$y=6-x^2 \rightarrow y=-x^2+0x+6$

In this format, we can identify the coefficients of a, b, and c.

a=-1, b=0, c=6

The discriminant is the term inside the square root of the quadratic equation.

D=b^2-4ac

Substitute the known values and solve.

D=0^2-4(-1)(6) = 24

The answer is:

Report an Error

View Algebra 2 Tutors

Satweka
Certified Tutor

The University of Texas at Dallas, Master of Science, Biomedical Engineering.

View Algebra 2 Tutors

Gabby
Certified Tutor

University of Oregon, Bachelor in Arts, Journalism. University of Oregon, Current Grad Student, Communication, General.

View Algebra 2 Tutors

Robert
Certified Tutor

Rensselaer Polytechnic Institute, Bachelors, Electrical Engineering. Brooklyn Polytechnic, Masters, Computer Science.

All Algebra II Resources

10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Phoenix, Computer Science Tutors in Atlanta, GMAT Tutors in Miami, SSAT Tutors in Atlanta, ACT Tutors in Chicago, Computer Science Tutors in Los Angeles, Calculus Tutors in Boston, ISEE Tutors in Miami, ISEE Tutors in San Francisco-Bay Area, SAT Tutors in Dallas Fort Worth

Popular Courses & Classes

GRE Courses & Classes in New York City, SSAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Denver, ISEE Courses & Classes in Miami, Spanish Courses & Classes in San Diego, SSAT Courses & Classes in Miami, GMAT Courses & Classes in Miami, MCAT Courses & Classes in Atlanta, Spanish Courses & Classes in Washington DC

Popular Test Prep

SSAT Test Prep in Atlanta, SSAT Test Prep in Denver, GMAT Test Prep in Boston, LSAT Test Prep in San Francisco-Bay Area, ISEE Test Prep in New York City, SAT Test Prep in Dallas Fort Worth, ACT Test Prep in Boston, ISEE Test Prep in Phoenix, LSAT Test Prep in Seattle, ACT Test Prep in Chicago

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra II : Understanding Quadratic Equations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #1411 : Algebra Ii

Example Question #1412 : Algebra Ii

Example Question #1411 : Algebra Ii

Example Question #21 : Discriminants

Example Question #22 : Discriminants

Example Question #23 : Discriminants

Example Question #24 : Discriminants

Example Question #21 : Discriminants

Example Question #1418 : Algebra Ii

Example Question #1421 : Algebra Ii

All Algebra II Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: