What are the foci of an ellipse?

The foci of an ellipse are two fixed points located along the major axis, at a distance of c from the center, where c = $$\text{sqrt}(a^2 - b^2)$$ .

What is the relationship between the axes of an ellipse?

In an ellipse, the length of the major axis is 2a and the length of the minor axis is 2b, where a > b.

How do you determine the vertex of a parabola from its equation?

The vertex of a parabola given by the equation $$y^2 = 4px$$ is at the origin (0, 0) if not translated. For $$(y - k)^2 = 4p(x - h)$$ , the vertex is at (h, k).

What is the difference between a circle and an ellipse?

A circle is a special case of an ellipse where the lengths of the semi-major and semi-minor axes are equal (a = b).

What is the equation of a hyperbola with a horizontal transverse axis?

The equation of a hyperbola with a horizontal transverse axis is: $$\frac{(x - h)^2}{a^2} - \frac{(y - k)^2}{b^2} = 1$$ .

How do you find the directrix of a parabola given its focus?

If the focus of a parabola is at (p, 0), the directrix is the line $$x = -p$$ .

What is the significance of the eccentricity of a conic section?

The eccentricity (e) of a conic section determines its shape: e = 0 for a circle, 0 1 for a hyperbola.

Review for Conic Sections Flashcards

Student preview

14 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a conic section?

Back

A conic section is a curve obtained by intersecting a cone with a plane. The four types of conic sections are circles, ellipses, parabolas, and hyperbolas.

2.

FLASHCARD QUESTION

Front

What is the standard equation of a circle?

Back

3.

FLASHCARD QUESTION

Front

What is the standard equation of an ellipse?

Back

4.

FLASHCARD QUESTION

Front

What is the standard equation of a hyperbola?

Back

5.

FLASHCARD QUESTION

Front

What is the standard equation of a parabola?

Back

6.

FLASHCARD QUESTION

Front

How do you find the focus of a parabola given its equation?

Back

7.

FLASHCARD QUESTION

Front

What is the definition of the directrix of a parabola?

Back

The directrix of a parabola is a line perpendicular to the axis of symmetry, located at a distance p from the vertex, opposite to the focus.

Access all questions and much more by creating a free account

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

Ús de la R i la RR en valencià

Flashcard

•

KG

12 questions

Organic 2 Exam 4 Review

Flashcard

•

KG

11 questions

Review A2

Flashcard

•

10th Grade

11 questions

3D Design Vocabulary Flashcard

Flashcard

•

10th Grade

13 questions

Regular and Irregular Verbs

Flashcard

•

10th Grade

10 questions

Flashcards memory game

Flashcard

•

KG - University

11 questions

7517 05 Structured Programming

Flashcard

•

10th Grade - University

12 questions

Descriptive adjectives for Home and Furniture

Flashcard

•

10th Grade - University

Popular Resources on Wayground

8 questions

Spartan Way - Classroom Responsible

Quiz

•

9th - 12th Grade

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

14 questions

Boundaries & Healthy Relationships

Lesson

•

6th - 8th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

3 questions

Integrity and Your Health

Lesson

•

6th - 8th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

9 questions

FOREST Perception

Lesson

•

KG

20 questions

Main Idea and Details

Quiz

•

5th Grade

Discover more resources for Mathematics

14 questions

Making Inferences From Samples

Quiz

•

7th - 12th Grade

16 questions

Properties of Quadrilaterals

Quiz

•

11th Grade

23 questions

8th grade math unit 5B Perfect Squares and Cubes

Quiz

•

6th - 12th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

10 questions

Quadratic Regression Practice

Quiz

•

7th - 12th Grade

20 questions

Triangle Congruence Statements Quiz

Quiz

•

9th - 12th Grade

20 questions

5.1 Characteristics of Exponential Functions Lesson Check

Quiz

•

9th - 12th Grade

10 questions

Solving two-step equations

Quiz

•

7th - 12th Grade