Understanding Hyperbolas

Understanding Hyperbolas

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Medium

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Aiden Montgomery

Used 12+ times

FREE Resource

Standards-aligned

CCSS.HSG.GPE.A.1
This video tutorial introduces hyperbolas, a type of conic section, and explains how to graph them in standard form. It covers the definition of hyperbolas, key features such as vertices, foci, and asymptotes, and provides examples of graphing both horizontal and vertical hyperbolas. The tutorial emphasizes understanding the relationship between the equation components and the graph's features.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the defining property of a hyperbola?

The sum of distances from two fixed points is constant.

The difference of distances from two fixed points is constant.

The product of distances from two fixed points is constant.

The ratio of distances from two fixed points is constant.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a key feature of a hyperbola?

Foci

Radius

Vertices

Center

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do hyperbolas approach their asymptotes?

They are perpendicular to the asymptotes.

They are parallel to the asymptotes.

They never intersect the asymptotes.

They intersect the asymptotes.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the standard form of a hyperbola, what does 'A squared' represent?

It is always under the positive part of the equation.

It is always under the sum part of the equation.

It is always under the product part of the equation.

It is always under the negative part of the equation.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between A, B, and C in a hyperbola?

C squared = A squared - B squared

C squared = A squared + B squared

C squared = A squared * B squared

C squared = A squared / B squared

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with a horizontal transverse axis, what are the coordinates of the center?

(2, -3)

(0, 0)

(2, 3)

(4, -3)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For a hyperbola with a horizontal transverse axis, how are the vertices determined?

By adding and subtracting B from the x-coordinate of the center.

By adding and subtracting A from the y-coordinate of the center.

By adding and subtracting A from the x-coordinate of the center.

By adding and subtracting C from the y-coordinate of the center.

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?