What are the zeros of the function $$y=-x^2-2x+24$$ ?

The zeros of the function are $$-6$$ and $$4$$ .

How do you find the vertex of the quadratic function $$y=x^2-4x+10$$ ?

The vertex can be found using the formula $$x=-\frac{b}{2a}$$ , where $$a$$ and $$b$$ are coefficients from the standard form.

What are the roots of the quadratic equation $$y=5x^2+5x-30$$ ?

The roots of the equation are $$-3$$ and $$2$$ .

What is the quadratic formula?

The quadratic formula is $$x=\frac{-b\text{±}\text{√}(b^2-4ac)}{2a}$$ , used to find the roots of a quadratic equation.

What does it mean for a number to be a zero of a function?

A zero of a function is a value of x that makes the function equal to zero.

How can you determine if a quadratic function has real roots?

You can determine if a quadratic function has real roots by checking the discriminant $$b^2-4ac$$ . If it is positive, there are two real roots; if zero, one real root; if negative, no real roots.

What is the significance of the discriminant in a quadratic equation?

The discriminant indicates the nature of the roots of the quadratic equation: positive for two distinct real roots, zero for one real root, and negative for two complex roots.

What is the axis of symmetry in a quadratic function?

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula $$x=-\frac{b}{2a}$$ .

What is the relationship between the zeros and the factors of a quadratic function?

The zeros of a quadratic function correspond to the values of x that make the function equal to zero, which can be expressed as factors of the form $$(x - r_1)(x - r_2)$$ , where $$r_1$$ and $$r_2$$ are the zeros.

What is the importance of the leading coefficient in a quadratic function?

The leading coefficient (the value of 'a') affects the width and direction of the parabola. A larger absolute value of 'a' makes the parabola narrower, while a smaller absolute value makes it wider.

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, and zeros, then plot these points and draw a smooth curve through them.

Finding Zeros Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

Back

The coefficient 'a' determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Tags

CCSS.HSF-IF.C.7A

3.

FLASHCARD QUESTION

Front

How do you find the zeros of a quadratic function?

Back

To find the zeros of a quadratic function, set the equation equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

5.

FLASHCARD QUESTION

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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

Already have an account?

Similar Resources on Wayground

10 questions

DNA Flashcards

Flashcard

•

9th - 12th Grade

15 questions

Flashcard - Unit Conversion and Practical Use

Flashcard

•

KG - University

7 questions

Places

Flashcard

•

KG - University

10 questions

Statistical Estimates & Hypothesis

Flashcard

•

9th - 12th Grade

7 questions

2025 S3/S4 CCKS Nutri in Humans Pt 2 Hormones

Flashcard

•

8th Grade - University

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

20 questions

Triangle Congruence Theorems

Quiz

•

9th Grade

20 questions

Solving One-Step Equations

Quiz

•

6th - 9th Grade

15 questions

Graphing Systems of Equations

Quiz

•

8th - 9th Grade

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade