Understanding Hyperbolas

Understanding Hyperbolas

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
8.G.B.8

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.8.G.B.8
The video tutorial guides viewers through writing the standard form of a hyperbola equation. It starts with identifying the foci and vertices, drawing the hyperbola, and finding the center. The tutorial then calculates the parameters a, b, and c using the Pythagorean theorem. Finally, it constructs the hyperbola with vertices and asymptotes and writes the equation using the derived parameters.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in writing the standard form of a hyperbola?

Identify the foci and vertices

Calculate the distance between foci

Find the co-vertices

Draw the asymptotes

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the center of a hyperbola?

By calculating the average of the y-coordinates

By calculating the average of the x-coordinates

By finding the midpoint between the foci

By finding the midpoint between the vertices

Tags

CCSS.8.G.B.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'a' in the context of hyperbolas?

The distance between the foci

The distance from the center to a co-vertex

The distance from the center to a vertex

The distance from the center to a focus

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which theorem is used to find the value of 'b' in a hyperbola?

The Pythagorean theorem

The Binomial theorem

The Fundamental theorem of algebra

The Mean value theorem

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the orientation of the hyperbola if the transverse axis is horizontal?

The hyperbola is elliptical

The hyperbola is circular

The hyperbola opens left and right

The hyperbola opens up and down

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of drawing a box around the vertices and co-vertices?

To find the center of the hyperbola

To help draw the asymptotes

To determine the length of the transverse axis

To calculate the distance between foci

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation of a hyperbola, what does 'a squared' represent?

The square of the distance from the center to a vertex

The square of the distance from the center to a focus

The square of the distance between the foci

The square of the distance from the center to a co-vertex

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