Conic Sections Review

Conic Sections Review

11th - 12th Grade

15 Qs

quiz-placeholder

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Conic Sections Review

Conic Sections Review

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
8.G.B.8, 7.G.A.3

Standards-aligned

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the standard form of a hyperbola with a horizontal transverse axis?

(x - h)²/a² - (y - k)²/b² = 1, where (h, k) is the center.

(y - k)²/a² - (x - h)²/b² = 1, where (h, k) is the center.

(x + h)²/a² + (y + k)²/b² = 1, where (h, k) is the center.

(x - h)²/b² - (y - k)²/a² = 1, where (h, k) is the center.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the relationship between a, b, and c in a hyperbola?

c² = a² + b², where a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.

c² = a² - b², where a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.

c² = a² + 2b², where a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.

c² = 2a² + b², where a is the distance from the center to the vertices and b is the distance from the center to the co-vertices.

Tags

CCSS.8.G.B.8

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What are the coordinates of the foci for the hyperbola y²/12 - x²/5 = 1?

(0, ±√12)

(0, ±√17)

(±√5, 0)

(±√17, 0)

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the standard form of a hyperbola with a vertical transverse axis?

(y - k)²/a² - (x - h)²/b² = 1, where (h, k) is the center.

(x - h)²/a² - (y - k)²/b² = 1, where (h, k) is the center.

(y - k)²/b² - (x - h)²/a² = 1, where (h, k) is the center.

(x - h)²/b² - (y - k)²/a² = 1, where (h, k) is the center.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How do you graph a hyperbola?

Identify the center, vertices, foci, and asymptotes, then sketch the curves approaching the asymptotes.

Draw a straight line through the center and vertices.

Plot points randomly on the graph until a curve forms.

Use a compass to draw a perfect circle around the center.

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the equation of a hyperbola centered at (h, k) with a horizontal transverse axis?

(x - h)²/a² - (y - k)²/b² = 1

(y - k)²/a² - (x - h)²/b² = 1

(x - h)²/b² - (y - k)²/a² = 1

(x - h)²/a² + (y - k)²/b² = 1

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the significance of the transverse axis in a hyperbola?

It is the line segment that connects the vertices of the hyperbola and determines its orientation.

It is the line that bisects the hyperbola into two equal parts.

It represents the distance between the foci of the hyperbola.

It is the axis that defines the asymptotes of the hyperbola.

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