How do you find the value to complete the square for the expression $$x^2 - 4x$$ ?

Take half of the coefficient of x (which is -4), square it, resulting in 4. Thus, $$x^2 - 4x + 4 = (x - 2)^2$$ .

How do you complete the square for the equation $$2x^2 - 20x + 18 = 0$$ ?

First, divide by 2: $$x^2 - 10x + 9 = 0$$ . Then, complete the square: $$x^2 - 10x + 25 = 16$$ , leading to $$(x - 5)^2 = 16$$ .

What is the first step in completing the square for the equation $$3x^2 + 15 = 18x$$ ?

Rearrange the equation to standard form: $$3x^2 - 18x + 15 = 0$$ , then divide by 3 to simplify.

What do you do with the b value when completing the square?

Divide the b value by 2 and square the result to find the constant needed to complete the square.

What is the completed square form of the expression $$x^2 - 6x$$ ?

The completed square form is $$(x - 3)^2 - 9$$ .

How do you solve the equation $$x^2 - 4x - 5 = 0$$ by completing the square?

Rearrange to $$x^2 - 4x = 5$$ , complete the square to get $$(x - 2)^2 = 9$$ , then solve for x.

What is the relationship between the roots of a quadratic equation and its graph?

The roots of a quadratic equation correspond to the x-intercepts of its graph, where the parabola intersects the x-axis.

How can completing the square help in graphing a quadratic function?

Completing the square allows you to rewrite the quadratic in vertex form, making it easier to identify the vertex and the direction of the parabola.

What is the effect of the coefficient 'a' in the quadratic equation $$y = ax^2 + bx + c$$ ?

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a

Completing the square Flashcard

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the process of completing the square?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve or analyze.

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

How do you derive the vertex from the standard form of a quadratic equation?

Back

6.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell you?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What is the significance of the plus or minus symbol (±) in solving quadratic equations?

Back

The ± symbol indicates that there are two possible solutions when taking the square root of both sides of an equation.

Tags

CCSS.HSA-REI.B.4B

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?

Similar Resources on Wayground

9 questions

Parts of a Computer

Flashcard

•

9th - 12th Grade

13 questions

[AP CSP] Binary Conversion

Flashcard

•

9th - 12th Grade

10 questions

Purpose Clauses

Flashcard

•

10th - 11th Grade

10 questions

Output Devices

Flashcard

•

10th Grade

13 questions

Simple Tips for Healthy Eating

Flashcard

•

10th Grade

15 questions

The Genre of Science Fiction

Flashcard

•

11th - 12th Grade

15 questions

Verbs and prepositions

Flashcard

•

12th Grade

10 questions

Synthetic Personalisation A level English

Flashcard

•

12th Grade - University

Popular Resources on Wayground

10 questions

Honoring the Significance of Veterans Day

Interactive video

•

6th - 10th Grade

10 questions

Exploring Veterans Day: Facts and Celebrations for Kids

Interactive video

•

6th - 10th Grade

19 questions

Veterans Day

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

Circuits, Light Energy, and Forces

Quiz

•

5th Grade

6 questions

FOREST Self-Discipline

Lesson

•

1st - 5th Grade

7 questions

Veteran's Day

Interactive video

•

3rd Grade

20 questions

Weekly Prefix check #2

Quiz

•

4th - 7th Grade

Discover more resources for Mathematics

19 questions

Explore Triangle Congruence and Proofs

Quiz

•

9th - 12th Grade

15 questions

Identify Triangle Congruence Criteria

Quiz

•

9th - 12th Grade

23 questions

Similar Figures

Quiz

•

9th - 12th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

10 questions

Arithmetic Sequences

Quiz

•

9th - 12th Grade

20 questions

Week 4 Memory Builder 1 (Squares and Roots) Term 2

Quiz

•

9th - 12th Grade

12 questions

Simplifying Roots

Quiz

•

9th - 12th Grade

12 questions

Identifying Ratios

Quiz

•

6th - 12th Grade